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Stability analysis and robust control of time-delay systems [electronic resource] / Min Wu, Yong He, Jin-Hua She.

"Stability Analysis and Robust Control of Time-Delay Systems" focuses on essential aspects of this field, including the stability analysis, stabilization, control design, and filtering of various time-delay systems. Primarily based on the most recent research, this monograph presents all t...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Wu, Min, 1963-
Other Authors: He, Yong, She, Jin-Hua
Format: Electronic eBook
Language:English
Published: Heidelberg ; New York : Beijing : Springer ; Science Press Beijing, ©2010.
Subjects:
Time delay systems.
Robust control.
Stability.
Table of Contents:
  • 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.

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