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Books on the topic 'Lyapunov stability theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 January 2023

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1

1967-, Rosier Lionel, ed. Liapunov functions and stability in control theory. 2nd ed. Berlin: Springer, 2005.

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2

Gajić, Z. Lyapunov matrix equation in system stability and control. San Diego: Academic, 1995.

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3

Gajić, Zoran. Lyapunov matrix equation in system stability and control. San Diego: Academic Press, 1995.

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4

Javed, Qureshi Muhammad Tahir, ed. Lyapunov matrix equation in system stability and control. Mineola, N.Y: Dover Publications, 2008.

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5

Zubov, Vladimir Ivanovich. Mathematical theory of the motion stability. Saint Petersburg: ["Mobilʹnostʹ pli︠u︡s"], 1997.

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6

Goebel, Rafal. Hybrid dynamical systems: Modeling, stability, and robustness. Princeton, N.J: Princeton University Press, 2012.

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7

Lakshmikantham, V. Practical stability of nonlinear systems. Singapore: World Scientific, 1990.

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8

Frédéric, Mazenc, and SpringerLink (Online service), eds. Constructions of Strict Lyapunov Functions. London: Springer London, 2009.

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9

A, Martynyuk Yu, ed. Uncertain dynamical systems: Stability and motion control. Boca Raton: Taylor & Francis, 2012.

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10

M, Matrosov V., and Sivasundaram S, eds. Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems. Dordrecht: Springer Netherlands, 1991.

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11

Shaikhet, Leonid. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations. Heidelberg: Springer International Publishing, 2013.

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12

1964-, Ponomarenko D. V., and Smirnova Vera B. 1946-, eds. Frequency-domain methods for nonlinear analysis: Theory and applications. Singapore: World Scientific, 1996.

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13

Halanay, Aristide. Applications of Liapunov methods in stability. Dordrecht: Kluwer Academic Publishers, 1993.

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14

service), SpringerLink (Online, ed. Discontinuous Systems: Lyapunov Analysis and Robust Synthesis under Uncertainty Conditions. London: Springer London, 2009.

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15

G, Wilson David, and SpringerLink (Online service), eds. Nonlinear Power Flow Control Design: Utilizing Exergy, Entropy, Static and Dynamic Stability, and Lyapunov Analysis. London: Springer-Verlag London Limited, 2011.

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16

Orlik, Lyubov', and Galina Zhukova. Operator equation and related questions of stability of differential equations. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1061676.

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The monograph is devoted to the application of methods of functional analysis to the problems of qualitative theory of differential equations. Describes an algorithm to bring the differential boundary value problem to an operator equation. The research of solutions to operator equations of special kind in the spaces polutoratonny with a cone, where the limitations of the elements of these spaces is understood as the comparability them with a fixed scale element of exponential type. Found representations of the solutions of operator equations in the form of contour integrals, theorems of existence and uniqueness of such solutions. The spectral criteria for boundedness of solutions of operator equations and, as a consequence, sufficient spectral features boundedness of solutions of differential and differential-difference equations in Banach space. The results obtained for operator equations with operators and work of Volterra operators, allowed to extend to some systems of partial differential equations known spectral stability criteria for solutions of A. M. Lyapunov and also to generalize theorems on the exponential characteristic. The results of the monograph may be useful in the study of linear mechanical and electrical systems, in problems of diffraction of electromagnetic waves, theory of automatic control, etc. It is intended for researchers, graduate students functional analysis and its applications to operator and differential equations.

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17

Kloeden, Peter E. Nonautonomous dynamical systems. Providence, R.I: American Mathematical Society, 2011.

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18

1943-, Abdulin R. Z., ed. Vector Lyapunov functions in stability theory. [Atlanta]: World Federation Publishers, 1996.

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19

Gajic, Zoran, and Muhammad Tahir Javed Qureshi. Lyapunov Matrix Equation in System Stability and Control. Elsevier Science & Technology Books, 1995.

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20

Rosier, Lionel, and Andrea Bacciotti. Liapunov Functions and Stability in Control Theory. Springer Berlin / Heidelberg, 2010.

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21

Goebel, Rafal, Andrew R. Teel, and Ricardo G. Sanfelice. Hybrid Dynamical Systems: Modeling, Stability, and Robustness. Princeton University Press, 2012.

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22

Goebel, Rafal, Andrew R. Teel, and Ricardo G. Sanfelice. Hybrid Dynamical Systems: Modeling, Stability, and Robustness. Princeton University Press, 2012.

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23

Nonlinear systems stability analysis : Lyapunov-based approach. CRC Press, 2013.

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24

Letra, José Alvaro. Robust stability analysis of systems under parametric uncertainty. 1991.

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25

Set-Theoretic Methods in Control (Systems & Control: Foundations & Applications). Birkhäuser, 2007.

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26

Blanchini, Franco, and Stefano Miani. Set-Theoretic Methods in Control. Springer International Publishing AG, 2015.

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27

Blanchini, Franco, and Stefano Miani. Set-Theoretic Methods in Control. Birkhauser Verlag, 2015.

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28

Blanchini, Franco, and Stefano Miani. Set-Theoretic Methods in Control (Systems & Control: Foundations & Applications). Birkhäuser Boston, 2007.

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29

Blanchini, Franco, and Stefano Miani. Set-Theoretic Methods in Control. Birkhäuser, 2016.

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30

Stability Theory by Liapunov's Direct Method. Springer, 2012.

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31

Rouche, Nicolas, P. Habets, and M. Laloy. Stability Theory by Liapunov's Direct Method. Springer London, Limited, 2012.

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32

Malisoff, Michael, and Frédéric Mazenc. Constructions of Strict Lyapunov Functions. Springer, 2014.

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33

Rosier, Lionel, and Andrea Bacciotti. Liapunov Functions and Stability in Control Theory (Communications and Control Engineering). Springer, 2006.

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34

Jo, Jang Hyen. On the lyapunov-based approach to robustness bounds. 1991.

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35

Jo, Jang Hyen. On the lyapunov-based approach to robustness bounds. 1991.

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36

Rosier, Lionel, and Andrea Bacciotti. Liapunov Functions and Stability in Control Theory (Lecture Notes in Control and Information Sciences). Springer, 2001.

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37

Shaikhet, Leonid. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations. Springer, 2015.

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38

Shaikhet, Leonid. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations. Springer, 2013.

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39

Shaikhet, Leonid. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations. Springer, 2013.

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40

Zhukovskiy, Vladislav I. Lyapunov Functions in Differential Games (Stability and Control: Theory, Methods and Applications, 19). CRC, 2003.

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41

Wilson, David G., and Rush D. D. Robinett III III. Nonlinear Power Flow Control Design: Utilizing Exergy, Entropy, Static and Dynamic Stability, and Lyapunov Analysis. Springer, 2016.

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42

Alam, Arshad. Robustness estimation via integral liapunov functions. 1992.

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43

Zhu, Yang, and Miroslav Krstic. Delay-Adaptive Linear Control. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691202549.001.0001.

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Actuator and sensor delays are among the most common dynamic phenomena in engineering practice, and when disregarded, they render controlled systems unstable. Over the past sixty years, predictor feedback has been a key tool for compensating such delays, but conventional predictor feedback algorithms assume that the delays and other parameters of a given system are known. When incorrect parameter values are used in the predictor, the resulting controller may be as destabilizing as without the delay compensation. This book develops adaptive predictor feedback algorithms equipped with online estimators of unknown delays and other parameters. Such estimators are designed as nonlinear differential equations, which dynamically adjust the parameters of the predictor. The design and analysis of the adaptive predictors involves a Lyapunov stability study of systems whose dimension is infinite, because of the delays, and nonlinear, because of the parameter estimators. This book solves adaptive delay compensation problems for systems with single and multiple inputs/outputs, unknown and distinct delays in different input channels, unknown delay kernels, unknown plant parameters, unmeasurable finite-dimensional plant states, and unmeasurable infinite-dimensional actuator states. Presenting breakthroughs in adaptive control and control of delay systems, the book offers powerful new tools for the control engineer and the mathematician.

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