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混合系统理论——确定系统和随机系统 Theory of Hybrid Systems: Deterministic and Stochastic

样章
作者：
Mohamad S. Alwan, Xinzhi Liu
定价：
99.00元
ISBN：
978-7-04-050615-0
版面字数：
320.000千字
开本：
16开
全书页数：
暂无
装帧形式：
精装
重点项目：
暂无
出版时间：
2018-12-20
物料号：
50615-00
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
控制论与信息论
暂无
  • 前辅文
  • 1 Motivating Examples
    • 1.1 Switched Systems
      • 1.1.1 Supervisory Switching Control
      • 1.1.2 Switched Server System
      • 1.1.3 Singular System with Markov Switching
    • 1.2 Impulsive Systems
      • 1.2.1 SEIRS Epidemic Model with Impulse Vaccinations
      • 1.2.2 Insulin Treatment
    • References
  • 2 Mathematical Background
    • 2.1 Basic Definitions
    • 2.2 Comparison Method
    • 2.3 Delay Systems
    • 2.4 Impulsive Systems
    • 2.5 Comparison Method for Impulsive Systems
    • 2.6 Impulsive Systems with Time Delay
    • 2.7 Stochastic Differential Equations
      • 2.7.1 Notations and Basic Definitions
      • 2.7.2 Stochastic Processes
      • 2.7.3 Stochastic Differential Equations
      • 2.7.4 Comparison Method for Stochastic Systems
    • 2.8 Stochastic Impulsive System with Time Delay
    • 2.9 Switched Systems
      • 2.9.1 System Formulation
      • 2.9.2 Systems with Stable Subsystems
    • 2.10 Stochastic Switched Systems with Time Delay
    • 2.11 Singularly Perturbed Systems
    • 2.12 Miscellaneous Results
    • 2.13 Notes and Comments
    • References
  • 3 Fundamental Properties of Stochastic Impulsive Systems with Time Delay
    • 3.1 Existence of Solution
    • 3.2 Forward Continuation
    • 3.3 Global Existence
    • 3.4 Uniqueness of Solution
    • 3.5 Notes and Comments
    • References
  • 4 Stability of Stochastic Impulsive Systems with Time Delay
    • 4.1 Stability Analysis by Classical Lyapunov Technique
    • 4.2 Stability Analysis by Comparison Method
    • 4.3 Notes and Comments
    • References
  • 5 Large-Scale Stochastic Impulsive Systems with Time Delay
    • 5.1 Problem Formulation
    • 5.2 Analysis by Lyapunov Method
    • 5.3 Comparison Method
      • 5.3.1 Method of Lyapunov Function
      • 5.3.2 Method of Vector Lyapunov Functions
    • 5.4 Examples
    • 5.5 Notes and Comments
    • References
  • 6 Input-to-State Stability for Stochastic Switched Systems
    • 6.1 Problem Formulation
    • 6.2 Initial-State-Dependent Dwell-Time
    • 6.3 Markovian Switching
    • 6.4 Notes and Comments
    • References
  • 7 Reliable Control for Stochastic Switched Systems with State Delay
    • 7.1 Problem Formulation
    • 7.2 Stability Analysis
    • 7.3 Numerical Example
    • 7.4 Notes and Comments
    • References
  • 8 Robust Reliable Control for Impulsive Large-Scale Systems
    • 8.1 Problem Formulation
    • 8.2 Reliable Control
    • 8.3 State Estimation
    • 8.4 Notes and Comments
    • References
  • 9 Switched Singularly Perturbed Systems with Time Delay
    • 9.1 Problem Formulation
    • 9.2 Stability Analysis
    • 9.2.1 Linear Systems
    • 9.2.2 Nonlinear Systems
    • 9.3 Notes and Comments
    • References
  • 10 Singularly Perturbed Impulsive-Switched Systems with Time Delay
    • 10.1 Problem Formulation
    • 10.2 Stability Analysis
      • 10.2.1 Linear Systems
      • 10.2.2 Nonlinear Systems
    • 10.3 Notes and Comments
    • Reference
  • 11 Stabilization and State Estimation via Sliding Mode Control
    • 11.1 Problem Formulation
    • 11.2 Slow Sliding Mode Control Design
      • 11.2.1 Sliding Mode Control with Multiple Inputs
      • 11.2.2 Reachability Analysis
    • 11.3 Sliding Mode Luenberger Observer
    • 11.4 Numerical Examples
    • 11.5 Notes and Comments
    • References
  • 12 Comparison Method and Stability of EPCA
    • 12.1 Introduction
    • 12.2 Problem Formulation
    • 12.3 Comparison Method
    • 12.4 Stability Analysis
    • 12.5 Numerical Examples
    • 12.6 Application
    • 12.7 Notes and Comments
    • References
  • 13 Existence, Uniqueness and Stability of Stochastic EPCA
    • 13.1 Existence and Uniqueness of Solutions
    • 13.2 Comparison Method
    • 13.3 Stability Analysis
    • 13.4 Notes and Comments
    • References

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