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非线性控制系统的绝对稳定性（英文版）
  • 书号：7030035445
    作者：廖晓昕
  • 外文书名：
  • 装帧：
    开本：B5
  • 页数：188
    字数：200000
    语种：
  • 出版社：科学出版社
    出版时间：2006-07-30
  • 所属分类：O23 控制论、信息论（数学理论）
  • 定价： ￥0.00元
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This volume presents an overview of some recent developments on the absolute stability of nonlinear control systems
The contents are divided into six chapters as follows：Chapter 1 introduces the main tools and the principal results used in this book，such as Liapunov functions，K-class functions，Dini-derivatives，M-matrices and the principal theorems on global stability. Chapter 2 presents the absolute stability theory of autonomous control systems and the well-known Lurie problem. Chapter 3 gives some simple algebraic necessary and sufficient conditions for the absolute stability of several special control systems. Chapter 4 discusses nonautonomous and discrete control systems. Chapter 5 deals with the absolute stability of control systems with m nonlinear control terms. Chapter 6 devotes itself to the absolute stability of control systems described by functional differential equations.
The book concludes with a useful bibliography.
Applied mathematicians，and engineers whose work involves control systems.
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目录

  • Chapter 1. Principal Theorems on Global Stability
    1.1. Liapunov Functions and K-Class Functions
    1.2. Dini Derivatives
    1.3. M-Matrices
    1.4. Principal Theorems on Global Stability
    1.5. Partial Global Stability
    1.6. Global Stability of Sets
    1.7. Nonautonomous Systems
    I.8. The Systems with Separable Variables
    1.9. Autonomous Systems with Generalized Separable Variables
    1.10. Nonautonomous Systems with Separable Variables
    1.11. Notes
    Chapter 2. Autonomous Control Systems
    2.1. The Expression and Classification of the Problems
    2.2. Necessary and Sufficient Conditions for Absolute Stability
    2.3. The S-Method and Modified S-Method
    2.4. Direct Control Systems
    2.5. Indirect Control Systems
    2.6. Notes
    Chapter 3. Special Control Systems
    3.1. The Second Order Direct Control Systems
    3.2. A Class of the Third Order Control Systems
    3.3. Special Direct Control Systems of the nth Order
    3.4. The First Canonieal Form of Control Systems
    3.5. Critical Systems
    3.6. The Second Canonieal Form of Control Systems
    3.7. Notes
    Chapter 4. Nonautonomous and Discrete Control Systems
    4.1. Nonautonomous Systems
    4.2. The Systems with Separable Variables
    4.3. Direct Control Systems
    4.4. Indirect Control Systems
    4.5. The Systems with Rigid and Revolving Feedback
    4.6. Discrete Control Systems
    4.7. Notes
    Chapter 5. Control Systems with m Nonlinear Control Terms
    5.1. Necessary and Sufficient Conditions for Absolute Stability
    5.2. Some Simple Sufficient Conditions for Absolute Stability
    5.3. Discrimination of Definite Sign for Lurie’s Functions
    5.4. Particular Systems
    5.5. Nonautonomous Systems
    5.6. Notes
    Chapter 6. Control Systems Described by FDE
    6.1. The Systems Described by RFDE
    6.2. Large-Scale Control Systems Described by RFDE
    6.3. The Systems Described by NFDE
    6.4. Control Systems in Hilbert Spaces
    6.5. Notes
    Bibiogaphy
    Index
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