Qualitative Theory of Dynamical Systems  book cover
2nd Edition

Qualitative Theory of Dynamical Systems

ISBN 9780824705268
Published January 4, 2001 by CRC Press
732 Pages

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Book Description

"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."

Table of Contents

Dynamical systems; stability preserving mappings; stability of motion; finite dimensional systems; infinite dimensional systems; differential inclusions; hybrid dynamical systems; stability of hybrid and discontinuous dynamical systems; case studies in hybrid and discontinuous dynamical systems.

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Michel, Anthony; Wang, Kaining; Hu, Bo