Stability Analysis via Matrix Functions Method Part I
Publisher: Bookboon.com
Published: 2013
ISBN-13: 9788740304466
Table of contents: title: Content; title: Preface; title: Notation; title: 1. Preliminaries; title: 1.1. Introduction; title: 1.2. On Definition of Stability; title: 1.3. Brief Outline of Trends in Liapunov’s Stability Theory; title: 1.4. Notes; title: 2. Matrix Liapunov Function Method in General; title: 2.1. Introduction; title: 2.2. Definition of Matrix-Valued Liapunov Functions; title: 2.3. Direct Liapunov’s Method in Terms of Matrix-Function; title: 2.4. On Comparison Method; title: 2.5. Method of Matrix Liapunov Functions; title: 2.6. On Multistability of Motion; title: 2.7. Applications; title: 2.8. Notes; title: 3. Stability of Singularly-Perturbed Systems; title: 3.1. Introduction; title: 3.2. Description of Systems; title: 3.3. Asymptotic Stability Conditions; title: 3.4. Singularly Perturbed Lur’e-Postnikov Systems; title: 3.5. The Property of Having a Fixed Sign of Matrix-Valued Function; title: 3.6. Matrix-Valued Liapunov Function; title: 3.7. General Theorems on Stability and Instability in Case A; title: 3.8. General Theorems on Stability and Instability in Case B; title: 3.9. Asymptotic Stability of Linear Autonomous Systems; title: 3.10. Applications; title: 3.11. Notes