Stability Analysis and Robust Control of Time-Delay Systems

Cover13; -- Title page13; -- Copyright Page -- Preface -- Table of Contents -- Abbreviations -- Symbols -- Chapter 1. Introduction -- 1.1 Review of Stability Analysis for Time-Delay Systems -- Model transformation I -- Model transformation II -- Model transformation III -- Model transformation IV -- 1.2 Introduction to FWMs -- 1.3 Outline of This Book -- References -- Chapter 2. Preliminaries -- 2.1 Lyapunov Stability and Basic Theorems -- 2.1.1 Types of Stability -- 2.1.2 Lyapunov Stability Theorems -- 2.2 Stability of Time-Delay Systems -- 2.2.1 Stability-Related Topics -- 2.2.2 Lyapunov-Krasovskii Stability Theorem -- 2.2.3 Razumikhin Stability Theorem -- 2.3 H8734; Norm -- 2.3.1 Norm -- 2.3.2 H8734; Norm -- 2.4 H8734; Control -- 2.5 LMI Method -- 2.5.1 Common Specifications of LMIs -- 2.5.2 Standard LMI Problems -- 2.6 Lemmas -- 2.7 Conclusion -- References -- Chapter 3. Stability of Systems with Time-Varying Delay -- 3.1 Problem Formulation -- 3.2 Stability of Nominal System -- 3.2.1 Replacing the Term x(t) -- 3.2.2 Retaining the Term x(t) -- 3.2.3 Equivalence Analysis -- 3.3 Stability of Systems with Time-Varying Structured Uncertainties -- 3.3.1 Robust Stability Analysis -- 3.3.2 Numerical Example -- 3.4 Stability of Systems with Polytopic-Type Uncertainties -- 3.4.1 Robust Stability Analysis -- 3.4.2 Numerical Example -- 3.5 IFWM Approach -- 3.5.1 Retaining Useful Terms -- 3.5.2 Further Investigation -- 3.5.3 Numerical Examples -- 3.6 Conclusion -- References -- Chapter 4. Stability of Systems with Multiple Delays -- 4.1 Problem Formulation -- 4.2 Two Delays -- 4.2.1 Nominal Systems -- 4.2.2 Equivalence Analysis -- 4.2.3 Systems with Time-Varying Structured Uncertainties -- 4.2.4 Numerical Examples -- 4.3 Multiple Delays -- 4.4 Conclusion -- References -- Chapter 5. Stability of Neutral Systems -- 5.1 Neutral Systems with Time-Varying Discrete Delay -- 5.1.1 Problem Formulation -- 5.1.2 Nominal Systems -- 5.1.3 Systems with Time-Varying Structured Uncertainties -- 5.1.4 Numerical Example -- 5.2 Neutral Systems with Identical Discrete and Neutral Delays -- 5.2.1 FWM Approach -- 5.2.2 FWM Approach in Combination with Parameterized Model Transformation -- 5.2.3 FWM Approach in Combination with Augmented Lyapunov- Krasovskii Functional -- 5.2.4 Numerical Examples -- 5.3 Neutral Systems with Different Discrete and Neutral Delays -- 5.3.1 Nominal Systems -- 5.3.2 Equivalence Analysis -- 5.3.3 Systems with Time-Varying Structured Uncertainties -- 5.3.4 Numerical Example -- 5.4 Conclusion -- References -- Chapter 6. Stabilization of Systems with Time-Varying Delay -- 6.1 Problem Formulation -- 6.2 Iterative Nonlinear Minimization Algorithm -- 6.3 Parameter-Tuning Method -- 6.4 Completely LMI-Based Design Method -- 6.5 Numerical Example -- 6.6 Conclusion -- References -- Chapter 7. Stability and Stabilization of Discrete-Time Systems with Time-Varying Delay -- 7.1 Problem Formulation -- 7.2 Stability Analysis -- 7.3 Controller Design -- 7.3.1 SOF Controller -- 7.3.2 DOF Controller -- 7.4 Numerical Examples -- 7.5 Conclusion -- References -- Chapter 8. H8734; Control Design for Systems with Time-Varying Delay -- 8.1 Problem Formulation.