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Stability Theory of Large Scale Dynamical Systems

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Stability Theory of Large-Scale Dynamical Systems Download free books at... Miladzhanov Stability Theory of Large-Scale Dynamical Systems Download free eBooks at bookboon.com... Stabili

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Stability Theory of Large-Scale Dynamical Systems

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A.A Martynyuk & V.G Miladzhanov

Stability Theory of Large-Scale

Dynamical Systems

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Stability Theory of Large-Scale Dynamical Systems

1st edition

© 2014 A.A Martynyuk & V.G Miladzhanov & bookboon.com

ISBN 978-87-403-0771-9

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Stability Theory of Large-Scale

Dynamical Systems

4

Contents

Contents

1.2 Some Types of Large-Scale Dynamical Systems 13

1.3 Structural Perturbations of Dynamical Systems 23

1.4 Stability under Nonclassical Structural Perturbations 27

1.5 Method of Stability Analysis of Motion 31

2.2 Nonclassical Structural Perturbations in Time-Continuous Systems 37

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Stability Theory of Large-Scale

Dynamical Systems

5

Contents

2.3 Estimates of Matrix-Valued Functions 39

2.4 Tests for Stability Analysis 41

2.5 Linear Systems Analysis 62

2.6 Certain Trends of Generalizations and Applications 68

3.2 Nonclassical Structural Perturbations in Discrete-Time Systems 93

3.3 Liapunov’s Matrix-Valued Functions 95

3.4 Tests for Stability Analysis 98

3.5 Certain Trends of Generalizations and Applications 106

4.2 Nonclassical Structural Perturbations in the Impulsive Systems 119

4.3 Deinitions of Stability 122

4.4 Tests for Stability and Instability Analysis 122

4.5 Linear Systems Analysis 138

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