图书信息:

丛 书 名:系统与控制丛书
中文书名:时滞系统的鲁棒控制和稳定性分析
英文书名:Stability Analysis and Robust Control of
     Time-delay Systems
作    者:Min Wu, Yong He, Jin-Hua She
出 版 社:科学出版社
出版日期:2010年1月
语  种:英文
定  价:78.00
I S B N: 9787030260055
页  数:336

内容简介:

  本书聚焦该领域的基本问题,包括各种时滞系统的稳定性分析、镇定、控制器设计、滤波等。作者提出了一种全新的自由权矩阵方法,该方法较之其它方法的有效性和优势将从理论上给予证明并用各种例子加以说明。本书基于作者的最新成果,全面而系统地向读者论述用自由权矩阵研究时滞系统的方法。

  本书可供自动控制及相关领域的广大工程技术人员和科研工作者自学与参考使用。

英文目录:

1. Introduction
  1.1 Review of Stability Analysis for Time-Delay Systems
  1.2 Introduction to FWMs
  1.3 Outline of This Book
  References
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 H Norm
    2.3.1 Norm
    2.3.2 H Norm
  2.4 H 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
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
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
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
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
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
8. H Control Design for Systems with Time-Varying Delay
  8.1 Problem Formulation
  8.2 BRL
  8.3 Design of State-Feedback H Controller
  8.4 Numerical Examples
  8.5 Conclusion
  References
9. H Filter Design for Systems with Time-Varying Delay
  9.1 H Filter Design for Continuous-Time Systems
    9.1.1 Problem Formulation
    9.1.2 H Performance Analysis
    9.1.3 Design of H Filter
    9.1.4 Numerical Examples
  9.2 H Filter Design for Discrete-Time Systems
    9.2.1 Problem Formulation
    9.2.2 H Performance Analysis
    9.2.3 Design of H Filter
    9.2.4 Numerical Example
  9.3 Conclusion
  References
10. Stability of Neural Networks with Time-Varying Delay
  10.1 Stability of Neural Networks with Multiple Delays
    10.1.1 Problem Formulation
    10.1.2 Stability Criteria
    10.1.3 Numerical Examples
  10.2 Stability of Neural Networks with Interval Delay
    10.2.1 Problem Formulation
    10.2.2 Stability Criteria
    10.2.3 Numerical Examples
  10.3 Exponential Stability of Continuous-Time Neural Networks
    10.3.1 Problem Formulation
    10.3.2 Stability Criteria Derived by FWM Approach
    10.3.3 Stability Criteria Derived by IFWM Approach
    10.3.4 Numerical Examples
  10.4 Exponential Stability of Discrete-Time Recurrent Neural Networks
    10.4.1 Problem Formulation
    10.4.2 Stability Criterion Derived by IFWM Approach
    10.4.3 Numerical Examples
  10.5 Conclusion
  References
11. Stability of T-S Fuzzy Systems with Time-Varying Delay
  11.1 Problem Formulation
  11.2 Stability Analysis
  11.3 Numerical Examples
  11.4 Conclusion
  References
12. Stability and Stabilization of NCSs
  12.1 Modeling of NCSs with Network-Induced Delay
  12.2 Stability Analysis
  12.3 Controller Design
  12.4 Numerical Examples
  12.5 Conclusion
  References
13. Stability of Stochastic Systems with Time-Varying Delay
  13.1 Robust Stability of Uncertain Stochastic Systems
    13.1.1 Problem Formulation
    13.1.2 Robust Stability Analysis
    13.1.3 Numerical Example
  13.2 Exponential Stability of Stochastic Markovian Jump Systems with Nonlinearities
    13.2.1 Problem Formulation
    13.2.2 Exponential-Stability Analysis
    13.2.3 Numerical Example
  13.3 Conclusion
  References
14. Stability of Nonlinear Time-Delay Systems
  14.1 Absolute Stability of Nonlinear Systems with Delay and Multiple Nonlinearities
    14.1.1 Problem Formulation
    14.1.2 Nominal Systems
    14.1.3 Systems with Time-Varying Structured Uncertainties
    14.1.4 Numerical Examples
  14.2 Absolute Stability of Nonlinear Systems with Time-Varying Delay
    14.2.1 Problem Formulation
    14.2.2 Nominal Systems
    14.2.3 Systems with Time-Varying Structured Uncertainties
    14.2.4 Numerical Example
  14.3 Stability of Systems with Interval Delay and Nonlinear Perturbations
    14.3.1 Problem Formulation
    14.3.2 Stability Results
    14.3.3 Further Results Obtained with Augmented Lyapunov-Krasovskii Functional
    14.3.4 Numerical Examples
  14.4 Conclusion
  References
Index


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