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  时滞系统的鲁棒控...
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本书针对时滞系统的时滞相关鲁棒控制问题，提出一种全新的自由权矩阵方法。通过分析目前国际上处理时滞相关条件最广泛有效的确定模型变换方法及其局限性，引入自由权矩阵表示牛顿－莱布尼茨公式中各项的相互关系，建立了时变时滞系统的时滞相关鲁棒稳定性条件，并应用自由权矩阵方法，对多时滞系统和中立型时滞系统的稳定性问题进行了研究。在此基础上，将稳定性分析的结果应用于时滞相关鲁棒镇定设计。同时，将自由权矩阵的思想推广到离散时滞系统，获得了相应的时滞相关稳定性和镇定设计结果。更进一步，利用自由权矩阵方法，讨论了时滞系统的性能分析和控制器设计方法。最后，将自由权矩阵方法应用到具有非线性扇形输入的Lurie控制系统。

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  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 Di®erent 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