Stability Analysis via Matrix Functions Method Part I
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740304466
Table of contents: title: Preface; title: Notation; title: Preliminaries; title: Introduction; title: On Definition of Stability; title: Brief Outline of Trends in Liapunov’s Stability Theory; title: Notes; title: Matrix Liapunov Function Method in General; title: Introduction; title: Definition of Matrix-Valued Liapunov Functions; title: Direct Liapunov’s Method in Terms of Matrix-Function; title: On Comparison Method; title: Method of Matrix Liapunov Functions; title: On Multistability of Motion; title: Applications; title: Notes; title: Stability of Singularly-Perturbed Systems; title: Introduction; title: Description of Systems; title: Asymptotic Stability Conditions; title: Singularly Perturbed Lur’e-Postnikov Systems; title: The Property of Having a Fixed Sign of Matrix-Valued Function; title: Matrix-Valued Liapunov Function; title: General Theorems on Stability and Instability in Case A; title: General Theorems on Stability and Instability in Case B; title: Asymptotic Stability of Linear Autonomous Systems; title: Applications; title: Notes