内容简介：
本书以广义线性系统相关理论成果为基础，并融入作者本人在广义线性系统方面的最新成果，对连续时间广义线性系统理论进行了系统深入的研究。全书共11章，分为四部分。第一部分是导论，对广义线性系统理论提出的相关背景及一些初步的概念进行了概要介绍。第二部分是广义线性系统的分析部分，主要介绍了广义线性系统的等价性、广义系统的状态响应、正则广义线性系统、广义线性系统的能控性与能观性等。第三部分是广义线性系统的设计部分，深入探讨了广义线性系统的正则化、动态阶配置和正常化、脉冲消除、极点配置和镇定、特征结构配置、最优控制、观测器设计等。第四部分是附录。
本书全面介绍了广义线性系统的理论与设计，可作为系统科学领域科研人员、工程技术人员，以及大学理工科数学与系统科学专业教师及研究生参考书。
英文目录：
Preface
List of Notation
1 Introduction
1.1 Models for Descriptor Systems
1.2 Examples of Descriptor Linear Systems
1.3 Problems for Descriptor Linear Systems Analysis and Design
1.4 Overview of the Book
1.5 Notes and References
Part I Descriptor Linear Systems Analysis
2 Equivalence and Solutions of Descriptor Linear Systems
2.1 Restricted System Equivalence
2.2 Canonical Equivalent Forms 40
2.3 Solutions of Descriptor Linear Systems
2.4 Notes and References
3 Regular Descriptor Linear Systems
3.1 Regularity of Descriptor Linear Systems
3.2 Equivalence of Regular Descriptor Linear Systems
3.3 Transfer Function Matrices
3.4 State Responses of Regular Descriptor Linear Systems: Distributional Solutions
3.5 State Responses of Regular Descriptor Linear Systems: Classical Solutions
3.6 Generalized Eigenvalues and Eigenvectors
3.7 Eigenstructure Decomposition with Relation to Standard Decomposition
3.8 Stability
3.9 Admissibility: Stability plus Impulse-Freeness
3.10 Notes and References
4 Controllability and Observability
4.1 State Reachable Subsets
4.2 Controllability
4.3 Observability
4.4 The Dual Principle
4.5 Direct Criteria
4.6 Criteria Based on Equivalent Forms.
4.7 System Decomposition
4.8 Transfer Function Matrix and Minimal Realization
4.9 Notes and References
Part II Descriptor Linear Systems Design
5 Regularization of Descriptor Linear Systems
5.1 Regularizability under P- (D-) Feedback
5.2 Regularizability under P-D Feedback
5.3 Regularizing Controllers
5.4 Proof of Theorem 5.7
5.5 Notes and References
6 Dynamical Order Assignment and Normalization
6.1 Assignable Dynamical Orders
6.2 Dynamical Order Assignment via Full-State Derivative Feedback
6.3 Dynamical Order Assignment via State Derivative Feedback with Minimum Norm
6.4 Dynamical Order Assignment via Partial-State Derivative Feedback
6.5 Normalization of Descriptor Linear Systems
6.6 Notes and References
7 Impulse Elimination
7.1 The Impulse-Free Property
7.2 Impulse Elimination by State Feedback
7.3 Impulse Elimination by Output Feedback
7.4 I-Controllablizability and I-Observablizability
7.5 Impulsive Elimination by P-D Feedback
7.6 Notes and References
8 Pole Assignment and Stabilization
8.1 Pole Assignment by State Feedback
8.2 Pole Assignment by P-D Feedback
8.3 Stabilizability and Detectability
8.4 Stabilizing Controller Design
8.5 Notes and References
9 Eigenstructure Assignment
9.1 The Problem
9.2 The Parametric Solution
9.3 The Left Eigenvector Matrix.
9.4 Response of the Closed-Loop System
9.5 An Example
9.6 Notes and References
10 Optimal Control
10.1 Introduction
10.2 Optimal Linear Quadratic State Regulation
10.3 Time-Optimal Control
10.4 Notes and References
11 Observer Design
11.1 Introduction
11.2 Descriptor State Observers
11.3 Eigenstructure Assignment Design
11.4 Observer Design with Disturbance Decoupling
11.5 Normal Reduced-Order State Observers
11.6 Normal Function Kx Observers
11.7 Notes and References
Part III Appendices
A Some Mathematical Results
A.1 Delta Function δ(·)
A.2 Laplace Transform
A.3 Determinants and Inverses of Block Matrices
A.4 Nilpotent Matrices
A.5 Some Operations of Linear Subspaces
A.6 Kernels and Images of Matrices
A.7 Singular Value Decomposition
B Rank-Constrained Matrix Matching and Least Square Problems
B.1 The Problems
B.2 Preliminaries.
B.3 Solution to Problem B.1
B.4 Solution to Problem B.2
B.5 An Illustrative Example
B.6 Proof of Lemma B.4
C Generalized Sylvester Matrix Equations
C.1 Introduction
C.2 Preliminaries
C.3 Solution Based on Right Coprime Factorization
C.4 Solution Based on SVD
C.5 An Example
References
Index
