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Journal articles on the topic 'Routh-Hurwitz Criterion'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Zahreddine, Ziad. "On the interlacing property and the Routh-Hurwitz criterion." International Journal of Mathematics and Mathematical Sciences 2003, no. 12 (2003): 727–37. http://dx.doi.org/10.1155/s0161171203205287.

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Unlike the Nyquist criterion, root locus, and many other stability criteria, the well-known Routh-Hurwitz criterion is usually introduced as a mechanical algorithm and no attempt is made whatsoever to explain why or how such an algorithm works. It is widely believed that simple derivations of this important criterion are highly requested by the mathematical community. In this paper, we address this problem and provide a simple proof of the Routh-Hurwitz criterion based on two generalizations of an interesting property known in stability theory as the interlacing property. Within the same conte

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2

Byrne, Peter C. "On The Routh-Hurwitz Criterion." International Journal of Electrical Engineering & Education 33, no. 2 (1996): 157–64. http://dx.doi.org/10.1177/002072099603300205.

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On the Routh-Hurwitz criterion The ‘ε method’ of Routh-Hurwitz criterion is examined. When roots occur on the imaginary axis it is found necessary to take the limit as c goes to zero, after each row is completed, to check for the occurrence of a row of zeros.

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3

Yang, Jing, Xiaorong Hou та Yajun Li. "A Generalization of Routh–Hurwitz Stability Criterion for Fractional-Order Systems with Order α ∈ (1, 2)". Fractal and Fractional 6, № 10 (2022): 557. http://dx.doi.org/10.3390/fractalfract6100557.

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Based on the generalized Routh–Hurwitz criterion, we propose a sufficient and necessary criterion for testing the stability of fractional-order linear systems with order α∈1,2, called the fractional-order Routh–Hurwitz criterion. Compared with the existing criterion, ours involves fewer and simpler expressions, which is significant for analyzing the robust stability of high-dimensional uncertain systems. All these expressions are explicit ones about the coefficients of the characteristic polynomial of the system matrix, so the stable parameter region of fractional-order systems can be describe

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4

Sun, Ying, and Wei Yan. "Analyze a Feedback System with the R-H Stability Criterion." Applied Mechanics and Materials 496-500 (January 2014): 1698–701. http://dx.doi.org/10.4028/www.scientific.net/amm.496-500.1698.

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From a practical point of view, a closed-loop feedback system that is unstable is of little value. Many control systems are subject to extraneous disturbance signals that cause the system to provide an inaccurate output. The Routh-Hurwitz criterion ascertains the absolute stability of a system by determining whether any of the roots of the characteristic equation lie in the right half of the s-plane. This study concludes with a stability analysis based on the Routh-Hurwitz method.

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5

Yan, Guang Hui, Shao Hua Wang, Zhi Wei Guan, and Chen Fu Liu. "PID Control Strategy of Vehicle Active Suspension Based on Considering Time-Delay and Stability." Advanced Materials Research 706-708 (June 2013): 901–6. http://dx.doi.org/10.4028/www.scientific.net/amr.706-708.901.

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The stability conditions of 1/4 vehicle active suspension with time-delay were deduced by the theory of Routh-Hurwitz stability criterion and the critical instability time-delay was discussed and calculated. Compared with PID control method of without time-delay the simulation results show that when the critical time-delay is 0.153s, the amplitude range and its root mean square value of spring load quality vertical acceleration were increased 1.2 times or so and the system was being on the critical stability. The calculation and simulation results proved that the theory of Routh-Hurwitz stabil

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6

Lúcio, Souza Fassarella. "Characterization of Positive Operators." Latin American Journal of Mathematics 02, no. 01 (2023): 1–11. https://doi.org/10.5281/zenodo.7922452.

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7

Fassarella, Lucio. "Characterization of Positive Operators." Latin American Journal of Mathematics 2, no. 01 (2023): 1–11. http://dx.doi.org/10.14244/lajm.v2i01.12.

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8

Ming-Tzu Ho, A. Datta, and S. P. Bhattacharyya. "An elementary derivation of the Routh-Hurwitz criterion." IEEE Transactions on Automatic Control 43, no. 3 (1998): 405–9. http://dx.doi.org/10.1109/9.661607.

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9

Ohagwu, C. J., W. I. Okonkwo, C. O. Akubuo, G. C. E. Mbah, and H. O. Njoku. "STABILITY ANALYSIS OF EQUILIBRIUM FOR TROMBE WALL SOLAR CHICK BROODER." INMATEH Agricultural Engineering 59, no. 3 (2019): 293–303. http://dx.doi.org/10.35633/inmateh-59-32.

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Trombe wall solar chick brooder was developed for 150-200 birds’ capacity. System evaluation as well as stability and equilibrium analysis were carried out. A set of linear differential equations were formulated that described the dynamic modeling of Trombe wall solar chick brooder for optimal poultry production. The descriptive models were referred to as system control. The model was transformed into Jacobian matrix and solved for stability and equilibrium. Further tests for stability using Routh-Hurwitz criterion were conducted. The solved Jacobian matrix had negative eigenvalues and as such

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10

MORISUE, Toshiya. "An Elementary Proof of the Routh-Hurwitz Stability Criterion." Transactions of the Society of Instrument and Control Engineers 22, no. 4 (1986): 473–75. http://dx.doi.org/10.9746/sicetr1965.22.473.

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11

Ng, Yong Xian, and Chang Phang. "Computation of Stability Criterion for Fractional Ocean Circulation Box Model Using Optimal Routh—Hurwitz Conditions." Journal of Physics: Conference Series 2084, no. 1 (2021): 012021. http://dx.doi.org/10.1088/1742-6596/2084/1/012021.

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Abstract Atlantic ocean thermohaline circulation is a deep ocean circulation occur in the Atlantic ocean which shows mixed of salt and freshwater transportation. The ocean circulation box model is defined to cover the large-scale behavior of the thermohaline circulation. On the other hand, fractional order dynamical systems are more flexible and realistic for real-life problems if compare with integer order dynamical systems. Hence, research on the stability for fractional dynamical systems is still infant and more difficult to analyze analytically. In this paper, we will extend the ocean circ

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12

Arhnful, D. A., H. Otoo, and J. Acquah. "Stability Analysis Techniques for Commensurate Fractional-Order Systems with Caputo Derivatives." Asian Research Journal of Mathematics 20, no. 11 (2024): 61–72. http://dx.doi.org/10.9734/arjom/2024/v20i11860.

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Dynamics of fractional-order systems has presently become a very extensively studied research area. This can be attributed to the various benefits of fractional-order derivatives such as hereditary properties, more degrees of freedom, and other advantages over the traditional integer-order derivatives. The standard Routh- Hurwitz criterion provides necessary and sufficient conditions for the stability of systems of integer-order differential equations, however, this criterion is only a sufficient condition for the Matignon-stability theorem for fractional-order derivatives. Therefore, devising

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13

Anagnost, J. J., and C. A. Desoer. "An elementary proof of the Routh-Hurwitz stability criterion." Circuits Systems and Signal Processing 10, no. 1 (1991): 101–14. http://dx.doi.org/10.1007/bf01183243.

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14

El-Marhomy, Abd Alla, and Nasar Eldin Abdel-Sattar. "Stability analysis of rotor-bearing systems via Routh-Hurwitz criterion." Applied Energy 77, no. 3 (2004): 287–308. http://dx.doi.org/10.1016/s0306-2619(03)00139-9.

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15

Mathematical Sciences, International Journal of Mathematics and. "Retracted: On the Interlacing Property and the Routh-Hurwitz Criterion." International Journal of Mathematics and Mathematical Sciences 2020 (November 30, 2020): 1. http://dx.doi.org/10.1155/2020/2417342.

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16

MOLAIE, MALIHE, SAJAD JAFARI, JULIEN CLINTON SPROTT, and S. MOHAMMAD REZA HASHEMI GOLPAYEGANI. "SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM." International Journal of Bifurcation and Chaos 23, no. 11 (2013): 1350188. http://dx.doi.org/10.1142/s0218127413501885.

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Using the Routh–Hurwitz stability criterion and a systematic computer search, 23 simple chaotic flows with quadratic nonlinearities were found that have the unusual feature of having a coexisting stable equilibrium point. Such systems belong to a newly introduced category of chaotic systems with hidden attractors that are important and potentially problematic in engineering applications.

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17

Zhanwei, Wang, and He Xia. "Globale Stability in a Viral Infection Model with Beddington-DeAngelis Functional Response." Open Biotechnology Journal 9, no. 1 (2015): 27–29. http://dx.doi.org/10.2174/1874070701509010027.

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The stability of a mathematical model for viral infection with Beddington-DeAngelis functional response is considered in this paper. If the basic reproduction number R ≤1, by the Routh-Hurwitz criterion and Lyapunov function, the uninfected equilibrium E is globally asymptotically stable. Then, the global stability of the infected equilibrium E is obtained by the method of Lyapunov function

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18

GREENBAUN, N. N. "THE MARGINAL STABILITY OF AUTONOMOUS DIFFERENTIAL EQUATIONS." International Journal of Bifurcation and Chaos 03, no. 03 (1993): 785–88. http://dx.doi.org/10.1142/s0218127493000702.

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Solutions in the vicinity of a steady state solution to a system of autonomous nonlinear differential equations are of interest to modelers. The usual method for determining marginal stability of the steady state is the Routh-Hurwitz criterion. The method offered here is less complicated and more efficient when the number of state variables exceeds three.

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19

Chedjou, J. C., P. Woafo, and S. Domngang. "Shilnikov Chaos and Dynamics of a Self-Sustained Electromechanical Transducer." Journal of Vibration and Acoustics 123, no. 2 (2000): 170–74. http://dx.doi.org/10.1115/1.1350821.

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The dynamics of a self-sustained electromechanical transducer is studied. The stability of the critical points is analyzed using the analytic Routh-Hurwitz criterion. Analytic oscillatory solutions are obtained in both the resonant and non-resonant cases. Chaotic behavior is observed using the Shilnikov theorem and from a direct numerical simulation of the equations of motion.

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20

Suganya, G., and R. Senthamarai. "Mathematical modeling and analysis of Phytoplankton–Zooplankton–Nanoparticle dynamics." Mathematical Modeling and Computing 9, no. 2 (2022): 333–41. http://dx.doi.org/10.23939/mmc2022.02.333.

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In this paper, we investigate the population dynamics of phytoplankton–zooplankton–nanoparticle model with diffusion and density dependent death rate of predator. The functional response of predator in this model is considered as Beddington–DeAngelis type. The stability analysis of the equilibrium points is observed by applying the Routh–Hurwitz criterion. Numerical simulations are given to illustrate the theoretical results.

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21

Nandan, Mauparna, Sourav K. Bhowmick, and Pinaki Pal. "Linear Generalized Synchronization Using Bidirectional Coupling." International Journal of Nonlinear Sciences and Numerical Simulation 16, no. 2 (2015): 67–72. http://dx.doi.org/10.1515/ijnsns-2014-0027.

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AbstractWe present a bidirectional coupling strategy to establish targeted linear generalized synchronization between two mismatched continuous chaotic dynamical systems. The strategy is based on Routh–Hurwitz stability criterion. Using the proposed coupling scheme we are able to achieve stable linear generalized synchronization between two mismatched chaotic dynamical systems. The coupling strategy is illustrated using the paradigmatic Lorenz, Rössler and Sprott systems.

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22

Jiang, Song, Wei Li, Lianchao Sheng, Jiajun Chen, and Min Li. "Nonlinear Torsional Vibration Analysis and Control of Semidirect Electromechanical Coupling Transmission System in Shearer." Shock and Vibration 2019 (March 3, 2019): 1–12. http://dx.doi.org/10.1155/2019/7431239.

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The nonlinear torsional vibration and instability oscillation caused by nonlinear damping in the shearer electromechanical coupling cutting transmission system in shearer driven by the permanent magnet synchronous motor (PMSM) is investigated in this paper. The electromechanical coupling transmission system in the shearer is equivalent to a concentrated mass model for the purpose of establishing the system dynamic model by the Lagrange–Maxwell equation. Then, the Routh–Hurwitz criterion is used to determine the torsional vibration critical point and stability region for the Hopf bifurcation fo

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23

Duan, Hai Long, Cheng Kun Cui, Chun Xiao Han, and Yan Qiu Che. "Bifurcation Control of in Morris-Lecar Neuron Model via Washout Filter with a Linear Term Based on Filter-Aided Dynamic Feedback." Advanced Materials Research 485 (February 2012): 600–603. http://dx.doi.org/10.4028/www.scientific.net/amr.485.600.

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In this paper, based on Routh-Hurwitz stability criterion, the linear control term of washout filter-aided dynamic feedback controller is added to the Morris-Lecar (ML) system to stabilize the bifurcation. We deduce the linear control parameters according to the stability criterion, and the simulation results indicate that the controller is effective to stabilize ML model. In addition, electrical stimulation is selected as an output of the controller, thus it may provide theoretical guidance for clinical diagnosis and therapy of dynamical diseases.

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24

Huang, Zhonghua, Rongjie Wu, Jinhao Chen, Xin Xu, and Ya Xie. "Study of Torsional Vibration Bifurcation Characteristics of Direct-Drive Wind Turbine Shaft System." Processes 10, no. 9 (2022): 1700. http://dx.doi.org/10.3390/pr10091700.

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This paper set out to establish the dynamics model of shaft torsional vibration for direct-drive wind turbine with the phenomenon of unstable shaft system torsional vibration. The stability of the equilibrium point of the dynamical model is investigated, and the Routh–Hurwitz stability criterion is used to obtain a range of values for the bifurcation control parameters. For the stable equilibrium point, the stability domain of the system is calculated by constructing the Lyapunov function. The sensitivity analysis of system parameters is carried out to obtain the law of the effect of system pa

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25

Badshah, Noor, and Haji Akbar. "Stability analysis of fractional order SEIR model for malaria disease in Khyber Pakhtunkhwa." Demonstratio Mathematica 54, no. 1 (2021): 326–34. http://dx.doi.org/10.1515/dema-2021-0029.

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Abstract We discussed stability analysis of susceptible-exposed-infectious-removed (SEIR) model for malaria disease through fractional order and check that malaria is epidemic or endemic in Khyber Pakhtunkhwa (Pakistan). We show that the model has two types of equilibrium points and check their stability through Routh-Hurwitz criterion. We find basic reproductive number using next-generation method. Finally, numerical simulations are also presented.

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26

Ding, Ming Cheng, Xue Ding, and Li Zhang. "Research on Mechanical Wind Machine of Constant Velocity." Applied Mechanics and Materials 214 (November 2012): 200–207. http://dx.doi.org/10.4028/www.scientific.net/amm.214.200.

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Primary technical parameters of centrifugal style speed controller were determined by Routh-Hurwitz criterion; the section gear variator could reach the standard of common gear driving of 9 grade precision indicators through design and calibration, especially suitable for low-rotate speed condition. The mechanical wind machine of constant velocity is novel in mode, briefness in structure, low in making cost and good for spreading and using.

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27

Wang, Jian Long, Gopal Adhikari, Haruo Kobayashi, et al. "Analysis and Design of Operational Amplifier Stability Using Routh-Hurwitz Stability Criterion." Applied Mechanics and Materials 888 (February 2019): 1–10. http://dx.doi.org/10.4028/www.scientific.net/amm.888.1.

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This paper proposes to use Routh-Hurwitz stability criterion for analysis and design of the operational amplifier stability; this can lead to explicit stability condition derivation for operational amplifier circuit parameters, and this is very effective to understand which parameter values should be increased or decreased for the operational amplifier stability. The proposed method has been verified by three amplifiers with theoretical analysis and SPICE simulations for three operational amplifier examples.

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28

Han, Guang Xin, and Yan Hui Zhao. "Trajectory Tracking Control of Nonholonomic Wheeled Mobile Robots with Actuator Dynamic Being Considered." Advanced Materials Research 433-440 (January 2012): 2596–601. http://dx.doi.org/10.4028/www.scientific.net/amr.433-440.2596.

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In this paper trajectory tracking control problem for nonholonomic wheeled mobile robots with the actuator dynamics being considered is studied. On the basis of rotation error transformation and backstepping technique, tracking control law designed for kinematic model is backstepped into dynamic model and furthermore actuator dynamics is involved. Closed-loop stability is guaranteed by Lyapunov theory and Routh-Hurwitz Criterion. Finally simulation results for tracking typical trajectory are presented.

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29

Yang, Xiaojing. "Generalized form of Hurwitz-Routh criterion and Hopf bifurcation of higher order." Applied Mathematics Letters 15, no. 5 (2002): 615–21. http://dx.doi.org/10.1016/s0893-9659(02)80014-3.

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30

Ray, S. Saha. "Stability analysis and modified projective synchronization of fractional-order hyperchaotic dynamical systems using nonlinear controllers." International Journal of Modern Physics C 32, no. 06 (2021): 2150081. http://dx.doi.org/10.1142/s0129183121500819.

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This paper deals with the modified projective synchronization between two fractional-order four-dimensional (4D) hyperchaotic systems. Based on the Lyapunov stability theory, a new controller for the synchronization of two fractional-order hyperchaotic systems is developed. The stability analysis of the error dynamics system is performed by the fractional-order Lyapunov direct method alongwith Routh–Hurwitz stability criterion. Numerical simulations are presented to demonstrate the validity and verify the effectiveness of the proposed synchronization scheme.

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31

Liu, Yadong, and Wenjun Liu. "Chaotic behavior analysis and control of a toxin producing phytoplankton and zooplankton system based on linear feedback." Filomat 32, no. 11 (2018): 3779–89. http://dx.doi.org/10.2298/fil1811779l.

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In this paper, we study the dynamic behavior and control of the fractional-order nutrientphytoplankton-zooplankton system. First, we analyze the stability of the fractional-order nutrient-plankton system and get the critical stable value of fractional orders. Then, by applying the linear feedback control and Routh-Hurwitz criterion, we yield the sufficient conditions to stabilize the system to its equilibrium points. Finally, Under a modified fractional-order Adams-Bashforth-Monlton algorithm, we simulate the results respectively.

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32

WANG, XING-YUAN, and XIANG-JUN WU. "CHAOS CONTROL OF A MODIFIED COUPLED DYNAMOS SYSTEM." International Journal of Modern Physics B 21, no. 26 (2007): 4593–610. http://dx.doi.org/10.1142/s0217979207037818.

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This paper studies the problem of controlling the chaotic behavior of a modified coupled dynamos system. Two different methods, feedback and non-feedback methods, are used to control chaos in the modified coupled dynamos system. Based on the Lyapunov direct method and Routh–Hurwitz criterion, the conditions suppressing chaos to unstable equilibrium points or unstable periodic orbits (limit cycles) are discussed, and they are also proved theoretically. Numerical simulations show the effectiveness of the two different methods.

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33

Ye, Maolin, Jiarong Li, and Haijun Jiang. "Dynamic analysis and optimal control of a novel fractional-order 2I2SR rumor spreading model." Nonlinear Analysis: Modelling and Control 28 (June 30, 2023): 1–24. http://dx.doi.org/10.15388/namc.2023.28.32599.

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In this paper, a novel fractional-order 2I2SR rumor spreading model is investigated. Firstly, the boundedness and uniqueness of solutions are proved. Then the next-generation matrix method is used to calculate the threshold. Furthermore, the stability of rumor-free/spreading equilibrium is discussed based on fractional-order Routh–Hurwitz stability criterion, Lyapunov function method, and invariance principle. Next, the necessary conditions for fractional optimal control are obtained. Finally, some numerical simulations are given to verify the results.

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34

Jia, Chenhui, Huanji Pang, Wensuo Ma, and Ming Qiu. "Analysis of dynamic characteristics and stability prediction of gas bearings." Industrial Lubrication and Tribology 69, no. 2 (2017): 123–30. http://dx.doi.org/10.1108/ilt-09-2015-0134.

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Purpose The prediction model to estimate the stability of a rotor-bearing system is established, which can predict the stability of gas bearings by applying Routh–Hurwitz stability criterion. This paper aims to provide the theoretical foundation for controlling actively the bearing running stiffness and damping and stemming the instability of a gas film. Design/methodology/approach The nonlinear dynamic lubrication analysis mathematical model of spherical hybrid gas bearings is established. Perturbation control equation is derived by the partial derivative method. The finite difference method

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35

Sánchez, Fabián Toledo, Pedro Pablo Cárdenas Alzate, and Carlos Alberto Abello Muñoz. "AN APPROACH TO THE STABILITY OF THE GAUSE-LOTKA-VOLTERRA COMPETITION ECOLOGICAL MODEL USING THE ROUTH-HURWITZ CRITERION." Journal of Southwest Jiaotong University 57, no. 5 (2022): 264–74. http://dx.doi.org/10.35741/issn.0258-2724.57.5.21.

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In the qualitative study of systems of ordinary differential equations, we can analyze the dynamics of the solutions by observing whether small variations or modifications in the initial conditions produce small changes in the future, this intuitive idea was formalized and studied by Lyapunov and reflects the concept of stability. For both linear and nonlinear systems of differential equations, we can analyze stability using criteria to obtain Hurwitz type polynomials. In this paper, we study the stability of a prey-predator model where three species compete considering the Gause effect genera

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36

Ng, Yong Xian, and Chang Phang. "Computation of Stability Criterion for Fractional Shimizu–Morioka System Using Optimal Routh–Hurwitz Conditions." Computation 7, no. 2 (2019): 23. http://dx.doi.org/10.3390/computation7020023.

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Nowadays, the dynamics of non-integer order system or fractional modelling has become a widely studied topic due to the belief that the fractional system has hereditary properties. Hence, as part of understanding the dynamic behaviour, in this paper, we will perform the computation of stability criterion for a fractional Shimizu–Morioka system. Different from the existing stability analysis for a fractional dynamical system in literature, we apply the optimal Routh–Hurwitz conditions for this fractional Shimizu–Morioka system. Furthermore, we introduce the way to calculate the range of adjusta

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37

El-Dessoky, M. M., Ebraheem Alzahrani, and Z. A. Abdulmannan. "Control and Function Projective Synchronization of 3D Chaotic System." International Journal of Analysis and Applications 22 (November 27, 2024): 217. http://dx.doi.org/10.28924/2291-8639-22-2024-217.

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In this paper, we study a linear feedback control to dampen the chaotic behavior of a 3D dynamic system. Based on the Routh-Hurwitz criterion, the conditions are determined to achieve control. Furthermore, function projective synchronization (FPS) between two identical 3D chaotic systems is demonstrated. The proof of asymptotic stability of solutions for the error dynamical system depends on the negative eigenvalues of the system. Additionally, numerical simulations are utilized to demonstrate the impact and effectiveness of the proposed methods.

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38

N., Mir-Nasiri, and Hazrat Ali Md. "A novel two-polynomial criteria for higher-order systems stability boundaries detection and control." TELKOMNIKA Telecommunication, Computing, Electronics and Control 18, no. 6 (2020): 3164~3172. https://doi.org/10.12928/TELKOMNIKA.v18i6.16256.

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There are many methods for identifying the stability of complex dynamic systems. Routh and Hurwitz’s criterion is one of the earliest and commonly used analytical tools analysing the stability of dynamic systems. However, it requires tedious and lengthy derivations of all components of the Routh array to solve the stability problem. Therefore, it is not a simple method to define analytically, stability boundaries for the coefficients of the system characteristic equation. The proposed brand-new criterion is an effective alternative technique in identifying stability higher-order linear t

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39

Lee, Kyungno. "Stability Analysis of a Haptic System with a Human Impedance model using the Routh-Hurwitz Criterion." Journal of the Korea Academia-Industrial cooperation Society 15, no. 4 (2014): 1813–18. http://dx.doi.org/10.5762/kais.2014.15.4.1813.

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40

Hidayati, Nurul Anggraeni. "Dynamical Analysis of New Fractional Order ZIKV Model with Nonlinear Incidence Rate." Jurnal Riset Mahasiswa Matematika 4, no. 4 (2025): 169–80. https://doi.org/10.18860/jrmm.v4i4.31194.

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The ZIKV model provided is derived by adapting the model proposed by \cite{Hidayati2021}. This study enhances the existing model by transforming it into a fractional-order ZIKV model with a nonlinear incidence rate. The model's equilibrium points are identified, and the stability conditions for each point are evaluated using the Routh-Hurwitz criterion. A numerical simulation is performed to validate the stability study results. Numerical simulations further demonstrate the impact of the order $\alpha$ on the stability of the equilibrium point inside the model.

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41

Bodson, Marc. "Explaining the Routh–Hurwitz Criterion: A Tutorial Presentation [Focus on Education]." IEEE Control Systems 40, no. 1 (2020): 45–51. http://dx.doi.org/10.1109/mcs.2019.2949974.

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42

Wang, Jianlong, Gopal Adhikari, Nobukazu Tsukiji, and Haruo Kobayashi. "Analysis and Design of Operational Amplifier Stability Based on Routh-Hurwitz Stability Criterion." IEEJ Transactions on Electronics, Information and Systems 138, no. 12 (2018): 1517–28. http://dx.doi.org/10.1541/ieejeiss.138.1517.

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43

Akyar, Bedia, Ayse Kara Hansen, and Sultan Selcuk Sutlu. "A Stability Study by Routh-Hurwitz Criterion and Gershgorin Circles for Covid-19." Modeling, Identification and Control: A Norwegian Research Bulletin 45, no. 3 (2024): 97–103. http://dx.doi.org/10.4173/mic.2024.3.2.

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44

Mahardika, R., Widowati, and YD Sumanto. "Routh-hurwitz criterion and bifurcation method for stability analysis of tuberculosis transmission model." Journal of Physics: Conference Series 1217 (May 2019): 012056. http://dx.doi.org/10.1088/1742-6596/1217/1/012056.

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45

Gil, J. J., A. Avello, A. Rubio, and J. Florez. "Stability Analysis of a 1 DOF Haptic Interface Using the Routh–Hurwitz Criterion." IEEE Transactions on Control Systems Technology 12, no. 4 (2004): 583–88. http://dx.doi.org/10.1109/tcst.2004.825134.

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46

Moreno, Javier, and Rafael Kelly. "On Motor Velocity Control by Using Only Position Measurements: Two Case Studies." International Journal of Electrical Engineering & Education 39, no. 2 (2002): 118–27. http://dx.doi.org/10.7227/ijeee.39.2.4.

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Velocity control by using only position measurements consists of finding a control algorithm that reconstructs the motor shaft velocity from the position measurements of the shaft encoder. The aim of this paper is to present the problem of velocity control in a linear description of a motor as paradigm in the application of the basic concepts of an introductory course in control systems; namely, transfer function, characteristic equation, stability, and Routh-Hurwitz criterion. Experiments have been carried out on a motor illustrating the performance of the velocity control algorithms discusse

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Lv, Hai Wei, Ying Hui Li, Qi Kuan Liu, and Liang Li. "Analysis of Transverse Vibration of Axially Moving Viscoelastic Sandwich Beam with Time-Dependent Velocity." Advanced Materials Research 338 (September 2011): 487–90. http://dx.doi.org/10.4028/www.scientific.net/amr.338.487.

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Transverse vibration of an axially moving viscoelastic sandwich beam is investigated in this paper. Based on the Kelvin constitutive equation, transverse controlling equation is established. First of all, the multiple scales method is applied to obtained steady-state response. Elimination of scales terms will give us the amplitude of vibrations. Additionally, the stability conditions of trivial and non-trivial solutions are analyzed using Routh-Hurwitz criterion. Eventually, numerical results are obtained to show the thickness of core layer, mean velocity, the amplitude of fluctuation effects

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Chen, Yuying, Jing Li, Wei Zhang, and Bin He. "Stability Analysis for Equivalent Circular Cylindrical Shell." Journal of Physics: Conference Series 2160, no. 1 (2022): 012037. http://dx.doi.org/10.1088/1742-6596/2160/1/012037.

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Abstract Ring truss antenna is an ideal structure for large satellite antenna, which can be equivalent to circular cylindrical shell model. Based on the high-dimensional nonlinear dynamic vibration and bifurcation theory, we focus on the nonlinear dynamic behavior for breathing vibration system of ring truss antenna with internal resonance. The nonlinear transformation and Routh-Hurwitz criterion are used to analyze the stability of equilibrium point after disturbance, and the theoretical analysis is verified by numerical simulation. It provides a reference to ensure the stability and control

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Li, He, Dan Liu, and Bang Chun Wen. "The Self-Synchronization of a Novel Vibrating Mechanism Excited by Two Unbalanced Rotors." Advanced Materials Research 819 (September 2013): 384–88. http://dx.doi.org/10.4028/www.scientific.net/amr.819.384.

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This paper proposes an analytical approach to study self-synchronous motion and stabilizing conditions of a novel vibrating mechanism excited by two unbalanced rotors. This approach begins with utilizing Lagrange equation to establish differential motion equations of the system, and then obtains the dimensionless coupled equation of the unbalanced rotors with a modified average small parameter method. The zero solutions of dimensionless coupled equations are used to achieve the condition to implement self-synchronization of the vibrating system, and finally the Routh-Hurwitz criterion is used

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Hu, Juju, Qin Xue, and Yinghua Ji. "Identification of open quantum system: Via closed feedback control." International Journal of Modern Physics B 33, no. 27 (2019): 1950327. http://dx.doi.org/10.1142/s0217979219503272.

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For stochastic quantum systems with given dissipations, the identification method of Hamiltonian is given in this paper. First, the stability of the system is realized through designing a real-time feedback control method. Second, by using Routh–Hurwitz stability criterion, the intervals of the element values of the system Hamiltonians are given. Finally, the identification of Hamiltonian is realized by selecting the equilibrium state of the system equal to the desired target state. For two typical categories of noise: Purely dephasing decoherence and amplitude damping decoherence, we check th

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