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混合系统理论:确定系统和随机系统 THEORY OF HYBRID SYSTE

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作者Mohamad S. Alwan, Xinzhi Liu

出版社3030-高等教育出版社

ISBN9787040506150

出版时间2019-01

装帧精装

开本16开

定价99元

货号1201797458

上书时间2024-11-02

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商品描述: 作者简介
穆罕默德？阿尔万，Mohamad S．Alwan博士任职于滑铁卢大学应用数学系，研究方向为确定和随机混合系统。

目录
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

内容摘要
穆罕默德？阿尔万、刘新芝著的《混合系统理论(确定系统和随机系统英文版)(精)/非线性物理科学》介绍了确定和随机混合系统的理论。混合系统是一个横跨应用数学、控制科学和计算机科学等学科的交叉研究领域。在此类系统中，若干个连续过程与不同层次的自动化设备相互作用。这些自动化装置起着监督、管理和决策作用，从而构成多个离散事件过程，这些集若干连续过程与离散过程为一体的大型反应系统即构成一个混合系统。混合系统的理论为大型反应系统提供了_一个很好的数学模型，它是一个很好有价值的建模工具，可用于描述广泛的现实世界的应用。本书介绍了多个Lyapunov或Razumikhin-Lyapunov函数方法，讨论了确定和随机混合系统领域的很新发展。本书还论述了系统的稳定性、稳定化、可靠控制、H-∞很优控制、输入-状态稳定性(ISS)稳定化、状态估计和大规模奇异摄动系统的稳定性等性质。

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混合系统理论:确定系统和随机系统 THEORY OF HYBRID SYSTE

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