Qualitative theory of dynamical systems: stability-preserving mappings

Anthony Michel, Kaining Wang, Bo Hu0824705262, 9780824705268, 9780585419138

Illuminates the most important results of the Lyapunov and Lagrange stability theory for a general class of dynamical systems by developing topics in a metric space independantly of equations, inequalities, or inclusions. Applies the general theory to specific classes of equations. Presents new and expanded material on the stability analysis of hybrid dynamical systems and dynamical systems with discontinuous dynamics

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Table of contents :
………Page 1
Preface to the Second Edition……Page 11
Preface to the First Edition……Page 14
Contents……Page 17
Introduction……Page 22
Dynamical Systems……Page 61
Stability Preserving Mappings……Page 130
Stability of Motion……Page 184
Finite Dimensional Systems……Page 278
Infinite Dimensional Systems……Page 352
Differential Inclusions……Page 430
Hybrid Dynamical Systems……Page 476
Stability of Hybrid and Discontinuous Dynamical Systems……Page 528
Case Studies in Hybrid and Discontinuous Dynamical Systems……Page 602
Index……Page 715