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Books on the topic 'Lyapunov stability'

Author: Grafiati
Published: 4 June 2021
Last updated: 30 November 2024

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1

Izobov, N. A. Lyapunov exponents and stability. Cambridge, UK: CSP/Cambridge Scientific Publishers, 2012.

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2

Martyni︠u︡k, A. A. Stability of motions: The role of multicomponent Liapunov's functions. Cambridge, UK: Cambridge Scientific Pub, 2007.

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3

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

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4

Martyni͡uk, A. A. Stability by Liapunov's matrix function method with applications. New York: Marcel Dekker, 1998.

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5

Li︠a︡punov, A. M. Izbrannye trudy: Raboty po teorii ustoĭchivosti. Moskva: Nauka, 2007.

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6

Shaĭkhet, L. E. Lyapunov functionals and stability of stochastic difference equations. London: Springer, 2011.

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7

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

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8

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

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9

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

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10

Shaikhet, Leonid. Lyapunov Functionals and Stability of Stochastic Difference Equations. London: Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-685-6.

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11

A, Stepani͡ant͡s I͡U, ed. Metod Li͡apunova-Arnolʹda v gidrodinamicheskoĭ teorii ustoĭchivosti. Nizhniĭ Novgorod: Rossiĭskai͡a akademii͡a nauk, In-t prikladnoĭ fiziki, 1995.

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12

Lakshmikantham, V. Vector Lyapunov functions and stability analysis of nonlinear systems. Dordrecht: Kluwer Academic Publishers, 1991.

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13

E, Marsden Jerrold, and Rațiu Tudor S, eds. Hamiltonian structure and Lyapunov stability for ideal continuum dynamics. Montréal, Québec, Canada: Presses de l'Université de Montréal, 1986.

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14

Lakshmikantham, V., V. M. Matrosov, and S. Sivasundaram. Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-015-7939-1.

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15

Shaikhet, Leonid. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations. Heidelberg: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00101-2.

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16

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

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17

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

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18

T, Gruĭich L., ed. Stability domains. Boca Raton, Fla: Chapman & Hall/CRC, 2004.

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19

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

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20

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

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21

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

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22

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

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23

P, Banks Stephen. Can Perceptrons find Lyapunov functions?: An algorithmic approach to systems stability. Sheffield: University of Sheffield, Dept. of Control Engineering, 1989.

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24

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

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25

Kozlov, R. I. Teorii︠a︡ sistem sravnenii︠a︡ v metode vektornykh funkt︠s︡iĭ Li︠a︡punova. Novosibirsk: "Nauka", 2001.

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26

Shize, Liu. On the dynamical system with some purely imaginary eigenvalues. [Chengdu]: Institute of Mathematical Sciences, Chengdu Branch of Academia Sinica, 1985.

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27

Zhang, Xin, Jinsong He, Hao Ma, Zhixun Ma, and Xiaohai Ge. Stability Enhancement Methods of Inverters Based on Lyapunov Function, Predictive Control, and Reinforcement Learning. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-7191-4.

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28

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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29

service), SpringerLink (Online, ed. Stochastic Stability of Differential Equations. 2nd ed. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2012.

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30

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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Abstract:
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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31

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

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32

Lyapunov Stability of Non-Autonomous Dynamical Systems. Nova Science Pub Inc, 2013.

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33

Martynyuk, Aa. Stability of Motions: Role of Multicomponent Liapunov's Functions. Cambridge Scientific Publishers, 2006.

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34

A. A. Martynë ii uk. Qualitative Methods in Nonlinear Dynamics: Novel Approaches to Liapunov's Matrix Functions. CRC Press LLC, 2002.

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35

A. A. Martynë ii uk. Stability by Liapunov's Matrix Function Method with Applications. CRC Press LLC, 1998.

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36

Matrix equations, spectral problems and stability of dynamic systems. Cottenham: Cambridge Scientific Publishers, 2008.

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37

Nikravesh, Seyed Kamaleddin Yadavar. Nonlinear Systems Stability Analysis: Lyapunov-Based Approach. Taylor & Francis Group, 2018.

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38

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

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39

Nikravesh, Seyed Kamaleddin Yadavar. Nonlinear Systems Stability Analysis: Lyapunov-Based Approach. Taylor & Francis Group, 2017.

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40

Nikravesh, Seyed Kamaleddin Yadavar. Nonlinear Systems Stability Analysis: Lyapunov-Based Approach. Taylor & Francis Group, 2018.

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41

Nikravesh, Seyed Kamaleddin Yadavar. Nonlinear Systems Stability Analysis: Lyapunov-Based Approach. Taylor & Francis Group, 2018.

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42

Nikravesh, Seyed Kamaleddin Yadavar. Nonlinear Systems Stability Analysis: Lyapunov-Based Approach. Taylor & Francis Group, 2018.

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43

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

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44

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

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45

Lyapunov Matrix Equation in System Stability and Control. Elsevier, 1995. http://dx.doi.org/10.1016/s0076-5392(06)x8072-4.

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46

Shaikhet, Leonid. Lyapunov Functionals and Stability of Stochastic Difference Equations. Springer London, Limited, 2016.

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47

Shaikhet, Leonid. Lyapunov Functionals and Stability of Stochastic Difference Equations. Springer, 2011.

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48

Barreira, Luis, and Yakov Pesin. Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents. Cambridge University Press, 2013.

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49

Barreira, Luis, and Yakov Pesin. Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents. Cambridge University Press, 2013.

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50

Barreira, Luis, and Yakov Pesin. Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents. Cambridge University Press, 2007.

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