Relevant bibliographies by topics / Routh-Hurwitz Criterion

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Routh-Hurwitz Criterion'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Routh-Hurwitz Criterion"

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Routh-Hurwitz Criterion"

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Serino, Sergio. "Dinâmica e estabilidade em um modelo para populações de ostras." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/100/100132/tde-01062017-120551/.

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O objetivo deste trabalho é estudar a ocorrência de mudanças de regime típicas de comportamentos em sistemas complexos, em particular no contexto de sistemas dinâmicos aplicados. Para isso, desenvolvemos um modelo matemático que representa a interação entre uma cultura de ostras utilizadas para consumo humano e os processos de eutrofização e biorremediação do ecossistema que as contém. As interações entre as populações de ostras e do fitoplâncton entre si e com a matéria suspensa, subproduto das relações entre os componentes do meio e seu processo de eutrofização, alteram os níveis de oxigenaç
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Book chapters on the topic "Routh-Hurwitz Criterion"

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Patil, Aseem. "Routh-Hurwitz Criterion for Stability: An Overview and Its Implementation on Characteristic Equation Vectors Using MATLAB." In Advances in Intelligent Systems and Computing. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-9927-9_32.

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Wiggers, Sine Leergaard, and Pauli Pedersen. "Routh–Hurwitz-Liénard–Chipart Criteria." In Springer Tracts in Mechanical Engineering. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72721-9_15.

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"The Routh–Hurwitz Criterion." In Series in Electrical and Computer Engineering, 3rd ed. WORLD SCIENTIFIC (EUROPE), 2024. http://dx.doi.org/10.1142/9781800615557_0004.

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"Routh-Hurwitz Stability Criterion." In Dekker Mechanical Engineering. CRC Press, 2005. http://dx.doi.org/10.1201/9781420027792.ax2.

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"The Routh-Hurwitz Criterion." In Series in Electrical and Computer Engineering. IMPERIAL COLLEGE PRESS, 2015. http://dx.doi.org/10.1142/9781783267804_0004.

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"The Routh-Hurwitz Criterion." In Series in Electrical and Computer Engineering. IMPERIAL COLLEGE PRESS, 2005. http://dx.doi.org/10.1142/9781860946905_0004.

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Oyelami, Benjamin Oyediran. "Stability Theory." In Ordinary Differential Equations and Applications II: with Maple Illustrations. BENTHAM SCIENCE PUBLISHERS, 2024. https://doi.org/10.2174/9789815313864124010012.

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Stability including its characterizations is considered using quantitative and qualitative theories. Stability criteria are discussed using the Routh-Hurwitz criterion and fundamental matrices. Stability is investigated for nonlinear systems through linearization and Lyaponov’s methods. Applications are made to single and multispecies population models.
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Ahmed, E., and Ahmed Ezzat Mohamed Matouk. "Fractional-Order Calculus in Antimicrobial Resistance and Waning Vaccination." In Advanced Applications of Fractional Differential Operators to Science and Technology. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-3122-8.ch001.

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In this chapter, a simple model for competition between drug resistant and drug sensitive bacteria is given. So, a model of antimicrobial resistance (AMR) and waning vaccination is presented. The model's steady states are obtained. The conditions of local stability of the equilibria are also derived via the fractional Routh-Hurwitz criterion. A discretization scheme has also been applied to the proposed fractional-order model to enhance the model's adequacy and accuracy of describing natural phenomena. So, dynamical behaviors of the resulting discrete-time model are studied such as local stabi
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Hegazi, Ahmed Sadek, El-Sayed Mohamed Ahmed, and Ahmed Ezzat Matouk. "On Dynamical Behaviors and Chaos Control of the Fractional-Order Financial System." In Chaos and Complexity Theory for Management. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-2509-9.ch002.

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In this work, the authors investigate the stability conditions in a fractional-order financial system using the fractional Routh-Hurwitz criteria. According to the qualitative theory, the existence and uniqueness of solutions for a class of commensurate fractional-order financial systems are investigated. A necessary condition for this system to remain chaotic is obtained. It is found that chaos exists in this system with order less than three. Furthermore, the fractional Routh-Hurwitz conditions are used to control chaos in the proposed fractional-order system to its equilibria via linear fee
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"Appendix F: Routh-Hurwitz Criteria for Complex Expressions." In Linear and Nonlinear Rotordynamics. Wiley-VCH Verlag GmbH & Co. KGaA, 2012. http://dx.doi.org/10.1002/9783527651894.app6.

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Conference papers on the topic "Routh-Hurwitz Criterion"

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Emami, Tooran, and Joseph Benin. "Computer support for teaching the Routh-Hurwitz criterion." In 2016 American Control Conference (ACC). IEEE, 2016. http://dx.doi.org/10.1109/acc.2016.7525102.

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Barreto, Aquiles, and Yudith Cardinale. "Load balancing on a cluster computing based in the Routh-Hurwitz criterion." In 2013 Latin American Computing Conference (CLEI). IEEE, 2013. http://dx.doi.org/10.1109/clei.2013.6670644.

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Wu, Xia. "Stability analysis of time domain FEM by applying Routh-Hurwitz Stability Criterion." In 2015 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. IEEE, 2015. http://dx.doi.org/10.1109/aps.2015.7305142.

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Abdullatif, Mahmoud, Ranjan Mukherjee, and Aren Hellum. "Damping-Induced Stability Transitions in Non-Conservative Systems: New Thoughts on an Old Paradox." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97203.

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Abstract It is well known that non-conservative systems can become unstable when the level of damping is increased. Systems which become stable at higher levels of damping have also been demonstrated along with the phenomenon of three stability transitions that recently appeared in the literature. This work highlights the role of damping on a two-link system subjected to non-conservative force. The addition of damping can cause the non-conservative systems to become stable, then unstable, then stable again at the same value of the non-conservative forcing. This stability transitions is located
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Sanayei, Ali. "Controlling Chaos in Forced Duffing Oscillator Based on OGY Method and Generalized Routh-Hurwitz Criterion." In 2009 Second International Conference on Computer and Electrical Engineering. IEEE, 2009. http://dx.doi.org/10.1109/iccee.2009.160.

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Chen, Yijian, Yashesh Shroff, and William G. Oldham. "Transient Optimization of an Electrically-Damped Cantilever-Supported Microactuator and the Pull-In Analysis." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1110.

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Abstract Analytic modeling of the transient behavior of an electrically-damped cantilever-supported microactuator using the perturbation method and linear control theory is presented. Five control parameters are identified and the transient optimization of the dynamic system to reduce the overshoot and settling time is carried out. With the ITAE performance index minimized, the optimal control parameters are obtained and the resultant optimized transient behavior is shown. We apply the Routh-Hurwitz criterion to analyze the stability of the dynamic system and three inequality relations for a s
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Muolo, Riccardo, Anthony Hastir, and Hiroya Nakao. "Stabilization of hyperbolic reaction-diffusion systems on directed networks through the generalized Routh-Hurwitz criterion for complex polynomials." In 2024 SICE International Symposium on Control Systems (SICE ISCS). IEEE, 2024. http://dx.doi.org/10.23919/siceiscs60954.2024.10505754.

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Bueno, Atila Madureira, Angelo Marcelo Tusset, João Paulo Martins dos Santos, Masayoshi Tsuchida, and José Manuel Balthazar. "SDRE Control Applied to an Electromechanical Pendulum Excited by a Non-Ideal Motor." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12676.

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The dynamical behavior of an electromechanical pendulum system is analyzed by means of the classical perturbation theory. A frequency response model of the system is obtained, and the number of unstable poles are determined with the Routh-Hurwitz criterion. Numerical simulations show that the system presents nonlinear behavior such as hysteresis, with hard and soft characteristics, and the Sommerfeld effect in the resonance region. In order to keep the oscillations of the electromechanical system in a pre-defined amplitude range a control strategy is designed. The SDRE control strategy is used
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Bibo, Amin, Gang Li, and Mohammed F. Daqaq. "Design Considerations for an Aeroelastic Micro-Power Generator." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47833.

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In two recent studies [1; 2], the authors have presented the concept and the analytical modeling framework for a scalable wind micro-power generator. The device transforms wind energy into electricity via the self-excited oscillations of a piezoelectric reed embedded within a cavity. Based on the model developed in [2], this effort utilizes the Routh-Hurwitz criterion and numerical algorithms to understand the influence of the design parameters on the device’s response with the goal of minimizing the cut-on wind speed and maximizing the output power. Results indicate that, for a beam of certai
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Menacer, Tidjani. "Control of a fractional jerk equation using the fractional Routh-Hurwitz criteria." In 2015 4th International Conference on Systems and Control (ICSC). IEEE, 2015. http://dx.doi.org/10.1109/icosc.2015.7152761.

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