Relevant bibliographies by topics / Region of Absolute Stability

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Region of Absolute Stability'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Region of Absolute Stability"

1

Mustafa, A., and M. M. Hamza. "Convergence Analysis of A- Stable Implicit Runge- Kutta Methods of Reformulated Block Hybrid Multistep Methods." Continental J. Applied Sciences 12, no. 2 (2017): 33–46. https://doi.org/10.5281/zenodo.801635.

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A number of techniques and solvers have been suggested, developed, and described, but a clear definition of stiffness has not been provided. In this paper, an analysis of the A-stable implicit Runge-Kutta methods is undertaken using stability function and the region of absolute stability, which shows region of each of the methods. Also to compare various stiff solvers based on their region of absolute stability. It helps a stiff ordinary differential equation solver, to identify appropriate numerical methods with unbounded region of absolute, appropriate for stiff problems solving.
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Voronov, A. A. "On the Absolute Stability Criteria Improving and Absolute Stability Regions Construction." IFAC Proceedings Volumes 22, no. 3 (1989): 219–23. http://dx.doi.org/10.1016/s1474-6670(17)53637-x.

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Barkin, A. I. "Systems with a switch and estimation of absolute stability region." Automation and Remote Control 70, no. 6 (2009): 1080–85. http://dx.doi.org/10.1134/s0005117909060137.

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K., Olumurewa O. "A Study on Convergence and Region of Absolute Stability of Implicit Two – Step Multiderivative Method for Solving Stiff Initial Value Problems of First Order Ordinary Differential Equations." International Journal of Research and Innovation in Applied Science IX, no. III (2024): 134–47. http://dx.doi.org/10.51584/ijrias.2024.90315.

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This study investigated and related the convergence and region of absolute stability of an implicit two - step multiderivative method, used in solving sampled stiff initial value problem of first order ordinary differential equation. It adopted the general implicit multiderivative linear multistep method at step - number (k) = 2 with derivative order (l) varied from 1 - 6 to develop six different variants of the method. Boundary locus method was adopted to determine the intervals of absolute stability which were plotted on the complex plane to show the regions of absolute stability. The varian
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Abubakar, Umaru Fotta, and Abubakar Abubakar Ahmad. "Development of Hybrid Block Integrator for the Numerical solution of Stiff and Oscillatory Differential Equations for first order Ordinary Differential Equations." GPH - International Journal of Mathematics 06, no. 12 (2024): 01–11. https://doi.org/10.5281/zenodo.10522017.

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<strong>This paper discussed the development of a new numerical hybrid block integrator for the numerical solution of stiff and oscillatory differential equations for first order ordinary differential equations. The method of interpolation and collocation at some selected grid point to generate the continuous scheme was adopted. The research also investigates the consistency, convergence, zero-stability and region of absolute stability of the integrator using matlab and the integrator was tested on some numerical experiments for comparism. The analysis of the method showed that the method is Z
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Fang, Yonglei, Xiong You, and Zhaoxia Chen. "New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies." Abstract and Applied Analysis 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/742585.

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Phase fitted and amplification fitted Numerov-type methods for periodic initial value problems with two frequencies are investigated. A one-frequency method and a two-frequency method are constructed. The two new methods both have algebraic order five and are dispersive of order six and dissipative of order five. The two-dimensional absolute stability region for the one-frequency method and the three-dimensional absolute stability region for the two-frequency method are plotted. Numerical experiments are reported to show the efficiency and competence of the two new methods.
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Bra´s, Michal, and Angelamaria Cardone. "CONSTRUCTION OF EFFICIENT GENERAL LINEAR METHODS FOR NON-STIFF DIFFERENTIAL SYSTEMS." Mathematical Modelling and Analysis 17, no. 2 (2012): 171–89. http://dx.doi.org/10.3846/13926292.2012.655789.

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This paper describes the construction of explicit general linear methods in Nordsieck form with inherent quadratic stability and large areas of the stability region. After satisfying order and inherent quadratic stability conditions, the remaining free parameters are used to find the methods with large area of region of absolute stability. Examples of methods with p = q + 1 = s = r and p = q = s = r - 1 up to order 6 are given.
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Séka, Hippolyte, and Kouassi Richard Assui. "ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGION." Ural Mathematical Journal 5, no. 2 (2019): 64. http://dx.doi.org/10.15826/umj.2019.2.006.

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In this article, we demonstrate through specific examples that the evolution of the size of the absolute stability regions of Runge–Kutta methods for ordinary differential equation does not depend on the order of methods.
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Fuster, D., J. P. Matas, S. Marty, et al. "Instability regimes in the primary breakup region of planar coflowing sheets." Journal of Fluid Mechanics 736 (November 1, 2013): 150–76. http://dx.doi.org/10.1017/jfm.2013.536.

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AbstractThis article investigates the appearance of instabilities in two planar coflowing fluid sheets with different densities and viscosities via experiments, numerical simulation and linear stability analysis. At low dynamic pressure ratios a convective instability is shown to appear for which the frequency of the waves in the primary atomization region is influenced by both liquid and gas velocities. For large dynamic pressure ratios an asymptotic regime is obtained in which frequency is solely controlled by gas velocity and the instability becomes absolute. The transition from convective
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Busłowicz, M., and A. Ruszewski. "Necessary and sufficient conditions for stability of fractional discrete-time linear state-space systems." Bulletin of the Polish Academy of Sciences: Technical Sciences 61, no. 4 (2013): 779–86. http://dx.doi.org/10.2478/bpasts-2013-0084.

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Abstract In the paper the problems of practical stability and asymptotic stability of fractional discrete-time linear systems are addressed. Necessary and sufficient conditions for practical stability and for asymptotic stability are established. The conditions are given in terms of eigenvalues of the state matrix of the system. In particular, it is shown that (similarly as in the case of fractional continuous-time linear systems) in the complex plane exists such a region, that location of all eigenvalues of the state matrix in this region is necessary and sufficient for asymptotic stability.
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Dissertations / Theses on the topic "Region of Absolute Stability"

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How, Jonathan P. "Robust control design with real parameter uncertainty using absolute stability." Thesis, Massachusetts Institute of Technology, 1993. http://hdl.handle.net/1721.1/12538.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1993.<br>GRSN 640480<br>Includes bibliographical references (p. 185-198).<br>by Jonathan P. How.<br>Ph.D.
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Lin, Guojian. "Control of piecewise smooth systems generalized absolute stability and applications to supercavitating vehicles /." College Park, Md.: University of Maryland, 2008. http://hdl.handle.net/1903/8651.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2008.<br>Thesis research directed by: Dept. of Electrical and Computer Engineering. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Gordon, D. "The Pleistocene of the Mendip region : aspects of the absolute dated, faunal and sediment records." Thesis, University of Bristol, 1987. http://hdl.handle.net/1983/6efdb23d-f601-43fc-9848-d9337d1976e6.

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Fetzer, Matthias [Verfasser], and Carsten W. [Akademischer Betreuer] Scherer. "From classical absolute stability tests towards a comprehensive robustness analysis / Matthias Fetzer ; Betreuer: Carsten W. Scherer." Stuttgart : Universitätsbibliothek der Universität Stuttgart, 2017. http://d-nb.info/115626636X/34.

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O'Rourke, Colm J. "Decentralized power systems : reference-frame theory and stability region generation." Thesis, Massachusetts Institute of Technology, 2020. https://hdl.handle.net/1721.1/127082.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, May, 2020<br>Cataloged from the official PDF of thesis.<br>Includes bibliographical references (pages 87-91).<br>Electricity provides the foundation for many of today's technological advances. The desire for energy security, a reduction in carbon dioxide emissions and a diversification of resources are all motivations for changes in how electricity is generated and transmitted. Recent alternatives to traditional centralized power-plants include technologies that are decentralized a
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Åkervik, Espen. "Global stability and feedback control of boundary layer flows." Doctoral thesis, KTH, Linné Flow Center, FLOW, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-9547.

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In this thesis the stability of generic boundary layer flows is studied from a global viewpoint using optimization methods. Global eigenmodes of the incompressible linearized Navier-Stokes equations are computed using the Krylov subspace Arnoldi method. These modes serve as a tool both to study asymptotic stability and as a reduced basis to study transient growth. Transient growth is also studied using adjoint iterations. The knowledge obtained from the stability analysis is used to device systematic feedback control in the Linear Quadratic Gaussian framework. The dynamics is assumed to be des
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Salci, Moses. "A Theoretical Study of Atomic Trimers in the Critical Stability Region." Doctoral thesis, Stockholm : Department of Physics, Stockholm University, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-1257.

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Stovall, Kazumi Niki. "Semidefinite Programming and Stability of Dynamical System." Digital Archive @ GSU, 2006. http://digitalarchive.gsu.edu/math_theses/4.

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In the first part of the thesis we present several interior point algorithms for solving certain positive definite programming problems. One of the algorithms is adapted for finding out whether there exists or not a positive definite matrix which is a real linear combination of some given symmetric matrices A1,A2, . . . ,Am. In the second part of the thesis we discuss stability of nonlinear dynamical systems. We search using algorithms described in the first part, for Lyapunov functions of a few forms. A suitable Lyapunov function implies the existence of a hyperellipsoidal attraction region f
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Chow, Hung-kay Daniel. "Biomechanical studies of the iliolumbar ligament in maintaining stability of the lumbosacral junction /." [Hong Kong : University of Hong Kong], 1988. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12349732.

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Schrödel, Frank [Verfasser], Dirk [Akademischer Betreuer] Abel, and Steffen [Akademischer Betreuer] Leonhardt. "Stability region based robust controller synthesis / Frank Schrödel ; Dirk Abel, Steffen Leonhardt." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://d-nb.info/112591162X/34.

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Books on the topic "Region of Absolute Stability"

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Liao, Xiao-xin. Absolute stability of nonlinear control systems. Science Press, 1993.

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Liao, Xiaoxin, and Pei Yu. Absolute Stability of Nonlinear Control Systems. Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-8482-9.

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Altshuller, Dmitry. Frequency Domain Criteria for Absolute Stability. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4234-8.

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Liao, Xiaoxin. Absolute Stability of Nonlinear Control Systems. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-017-0608-7.

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Liao, Xiao-xin. Absolute stability of nonlinear control systems. 2nd ed. Springer Science, 2008.

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Liao, Xiaoxin. Absolute Stability of Nonlinear Control Systems. Springer Netherlands, 1993.

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K, Davis Paul. Central Region stability in a deep-cuts regime. Rand Corp., 1989.

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K, Davis Paul. Central Region stability in a deep-cut regime. Rand Corp., 1989.

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K, Davis Paul. Central Region stability in a deep-cuts regime. Rand Corp., 1989.

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Chōsakai, Japan Kokkai Sangiin Kokusai Mondai ni Kansuru. Stability in the Asia-Pacific region and Japan's role. Research Committee on International Affairs, House of Councillors, 1998.

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Book chapters on the topic "Region of Absolute Stability"

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Nikolai, Tseligorov, Tseligorova Elena, and Mafura Gabriel. "An Assessment of the Effect of Varying Popov’s Parameter on the Region of Robust Absolute Stability of Nonlinear Impulsive Control Systems with Parametric Uncertainty." In Lecture Notes in Electrical Engineering. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15765-8_6.

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Visioli, Antonio, and Qing-Chang Zhong. "Stability Region." In Control of Integral Processes with Dead Time. Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-070-0_3.

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Petersen, Ian R., Valery A. Ugrinovskii, and Andrey V. Savkin. "Absolute stability, absolute stabilization and structured dissipativity." In Communications and Control Engineering. Springer London, 2000. http://dx.doi.org/10.1007/978-1-4471-0447-6_7.

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Altshuller, Dmitry. "Stability Multipliers." In Frequency Domain Criteria for Absolute Stability. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4234-8_3.

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Gil’, Michael I. "Absolute Stability of Scalar NDEs." In Atlantis Studies in Differential Equations. Atlantis Press, 2014. http://dx.doi.org/10.2991/978-94-6239-091-1_8.

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Liao, Xiaoxin, Fei Xu, and Pei Yu. "Absolute Stability of Hopfield Neural Network." In Advances in Neural Networks - ISNN 2006. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11759966_38.

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Bliman, Pierre-Alexandre. "Robust absolute stability of delay systems." In Nonlinear control in the Year 2000. Springer London, 2001. http://dx.doi.org/10.1007/bfb0110217.

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Griffiths, David F., and Desmond J. Higham. "Runge-Kutta Methods–II Absolute Stability." In Numerical Methods for Ordinary Differential Equations. Springer London, 2010. http://dx.doi.org/10.1007/978-0-85729-148-6_10.

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Griffiths, David F., and Desmond J. Higham. "Linear Multistep Methods—III: Absolute Stability." In Numerical Methods for Ordinary Differential Equations. Springer London, 2010. http://dx.doi.org/10.1007/978-0-85729-148-6_6.

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Tsypkin, Ya Z., and B. T. Polyak. "Robust Absolute Stability of Continuous Systems." In Robustness of Dynamic Systems with Parameter Uncertainties. Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-7268-3_12.

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Conference papers on the topic "Region of Absolute Stability"

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Valcheva, Nadezhda. "BLACK SEA THERMOHALIN STRATIFICATION: PARTICULARITY AND RECENT CHANGES." In 24th SGEM International Multidisciplinary Scientific GeoConference 2024. STEF92 Technology, 2024. https://doi.org/10.5593/sgem2024/3.1/s12.05.

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The Black Sea hydrological regime is impacted by external factors, which exerts effect on the sea surface in the process of interaction with the atmosphere and those confined to the lateral borders. The most pronounced features of the Black Sea thermohaline structure are large vertical contrasts in salinity (5 psu), temperature (20�C) and density (7 kg m-3); well-defined vertical asymmetry; existence of a cold intermediate layer during the warm half of the year with an absolute vertical temperature minimum, below which temperature inversion takes place; major contribution of salinity to densit
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Juniper, Matthew P. "Absolute and Convective Instability in Gas Turbine Fuel Injectors." In ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/gt2012-68253.

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Hydrodynamic instabilities in gas turbine fuel injectors help to mix the fuel and air but can sometimes lock into acoustic oscillations and contribute to thermoacoustic instability. This paper describes a linear stability analysis that predicts the frequencies and strengths of hydrodynamic instabilities and identifies the regions of the flow that cause them. It distinguishes between convective instabilities, which grow in time but are convected away by the flow, and absolute instabilities, which grow in time without being convected away. Convectively unstable flows amplify external perturbatio
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Zhang, Jie, and Jian-Qiao Sun. "Robustness Analysis of Optimally Designed Feedback Control of Linear Periodic Systems With Time-Delay." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34438.

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In this paper, we present an application of a semi-discretization method to the stability and robust analysis of optimally designed PID feedback control of a periodic linear system with time delay. The semi-discretization method uses a mapping of the system response in a finite-dimensional state space. Minimization of the largest absolute value of the eigenvalues of the mapping leads to optimal control gains. The robust analysis examines the stability region of system parameters with modeling errors when the control gains are set to be the optimal ones. Extensive numerical examples of stabilit
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Buhr, Craig A., Matthew A. Franchek, and Sanford Fleeter. "Distributed Control of Rotating Stall in an Axial Flow Compressor With Actuator Constraints." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-2379.

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Abstract Presented in this paper is an analytical study evaluating the closed loop stability of rotating stall control in an axial flow compressor subject to a nonlinear spatial actuation constraint that limits the amplitude of a spatial mode input. Absolute stability of the rotating stall control system is investigated by applying the circle criterion to a linearized model of an axial compressor in series with the saturation element. This stability analysis is then used to design the gain and phase of the ‘classical’ complex gain feedback control law. Resulting is a systematic method for desi
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Deng, Tian-Bo. "Variable Bandpass Filters with Full-Band Tunability and Absolutely Guaranteed Stability." In TENCON 2023 - 2023 IEEE Region 10 Conference (TENCON). IEEE, 2023. http://dx.doi.org/10.1109/tencon58879.2023.10322412.

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Zhang, Rui Rong, Barbara J. Belzer, and Edward F. Zalewski. "Stability of specular reflectance on two types of self-calibration detector." In OSA Annual Meeting. Optica Publishing Group, 1986. http://dx.doi.org/10.1364/oam.1986.mk3.

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The specular reflectance of the silicon photodiodes commonly used as radiometric standards in the self-calibration method has been studied as a function of time and cleaning procedure. The two types of photodiode studied were a group of inversion layer devices and a group of PN devices: UDT model UV100 and EG&amp;G model UV444BQ, respectively. The reflectance loss is the largest correction factor that must be measured in the self-calibration of these devices. Consequently its variation will have the largest effect on the absolute responsivity. The measurements were performed at 482.5 nm near t
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Lin, Feng, Juan Du, Jingyi Chen, Chaoqun Nie, and Christoph Biela. "Flow Structures in the Tip Region for a Transonic Compressor Rotor." In ASME Turbo Expo 2010: Power for Land, Sea, and Air. ASMEDC, 2010. http://dx.doi.org/10.1115/gt2010-23025.

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Numerical simulations are carried out to investigate flow structures in the tip region for an axial transonic rotor, with careful comparisons with the experimental results. The calculated performance curve and 2D flow structures observed at casing, such as the shock wave, the expansion wave around the leading edge and the tip leakage flow at peak efficiency and near-stall points, are all captured by simulation results, which agree with the experimental data well. An in-depth analysis of three-dimensional flow structures reveals three features: 1) there exists an interface between the incoming
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Emerson, Benjamin, Julia Lundrigan, Jacqueline O’Connor, David Noble, and Tim Lieuwen. "Convective and Absolute Instabilities in Reacting Bluff Body Wakes." In ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/gt2011-45330.

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This paper describes the variation of bluff body wake structure with flame density ratio. It is known that the bluff body flow structure at “high” and “low” flame density ratios is fundamentally different, being dominated by the convectively unstable shear layers or absolutely unstable Von Karman vortex street, respectively. This paper characterizes the aforementioned transition and shows that the bifurcation in flow behavior does not occur abruptly at some ρu/ρb value. Rather, there exists a range of transitional density ratios at which the flow exists intermittently in both flow states, abru
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Sami Abdullah, Ali. "Study of the Runge-Kutta Scheme for Random Differential Equations." In XII. International Scientific Congress of Pure, Applied and Technological Sciences. Rimar Academy, 2024. https://doi.org/10.47832/minarcongress12-17.

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Numerical methods are methodologies that use purely algebraic and arithmetic techniques to approximately solve complex equations or systems of equations, which analytically are very difficult or even impossible to solve. The slow convergence of Euler's method and the restrictedness of its region of absolute stability leads us to consider methods of higher order to attain the convergence of the solution. At each step, Euler's method moves along the tangent of a certain curve that is “close” to the unknown or sought curve. Because of the method’s insufficiency, studying the Runge-Kutta methods t
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Gucuyener, ismail Hakki, Samet Yanik, Onur Kazim Gurcay, and Ahmet Ay. "New Approaches to Improve Rheological Characterization of KCl/Polymer Muds." In SPE/IADC International Drilling Conference and Exhibition. SPE, 2023. http://dx.doi.org/10.2118/212450-ms.

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Abstract Representing the first-generation high-performance water-based drilling fluid, KCl/Polymer drilling fluids are widely used to drill troublesome shale formations containing water-sensitive clay minerals. In addition to maintaining wellbore stability, its rheological properties also play a crucial role in enhancing overall drilling performance. An accurate description of the rheological behavior of drilling fluids is essential in optimizing drilling fluid hydraulics. This study evaluates traditional and novel optimization algorithms for the parameterization of rheological models using a
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Reports on the topic "Region of Absolute Stability"

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Hughes, M. H., M. W. Phillps, A. M. M. Todd, J. Krishnaswami, and R. Hartley. High beta and second stability region transport and stability analysis. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/7192576.

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Author, Not Given. High beta and second stability region transport and stability analysis. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/5125728.

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Author, Not Given. High beta and second stability region transport and stability analysis. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/6225021.

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Hughes, M. H., M. W. Phillps, A. M. M. Todd, J. Krishnaswami, and R. Hartley. High beta and second stability region transport and stability analysis. Final report. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/10183308.

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Hughes, M. H., and M. W. Phillips. High beta and second stability region transport and stability analysis. Final report. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/661600.

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Hughes, M. H., M. W. Phillps, and A. M. M. Tood. High beta and second stability region transport and stability analysis. Technical progress report. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/10141065.

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Hughes, M. H., and M. W. Phillips. High beta and second stability region transport and stability analysis. Technical progress report. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10195961.

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Hughes, M. H., and M. W. Phillips. High beta and second stability region transport and stability analysis: Technical progress report. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/61192.

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Saydy, Lahcen, Eyad H. Abed, and Andre L. Tits. On Stabilization with a Prescribed Region of Asymptotic Stability. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada454728.

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Ebeling, Martin, and Gerald Langner. Differences in Spectral and Fundamental Hearing between Absolute and Relative Pitch. Carl Stumpf Gesellschaft, 2024. http://dx.doi.org/10.61712/hnpk7403.

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Consider a stimulus consisting of three sine tones with the same frequency spacing. For some listeners such a stimulus elicits a residual tone. Obviously, their hearing system interprets the three sine tones as three adjacent partials of a complex tone with a fundamental frequency equal to the frequency spacing. On the other hand, some subjects easily hear out some or even all single sine tones. One can therefore distinguish between two hearing modes: the case of the residue pitch is referred to as fundamental hearing, whereas the ability to resolve single partials is called spectral hearing o
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