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Mathematics - Dynamical Systems & Differential Equations | Analysis and Design of Descriptor Linear Systems

Analysis and Design of Descriptor Linear Systems

Duan, Guang-Ren

2010, XX, 496 p.

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  • A well structured book
  • Introduces real-world examples of descriptor systems
  • Includes three appendices which supply additional relative materials supporting the content of certain chapters in the book
  • Step-by-step algorithms provided for important analysis and design problems and theoretical solutions
  • The clear presentation of materials and large number of examples make this book accessible to a wide audience
Descriptor linear systems is an important and rich part of the general field of control systems theory. This book provides a systematic development of descriptor linear systems covering two aspects --- analysis and design. The text provides thorough introductions to the theory of continuous-time descriptor linear systems and to the basic results and recent advances in descriptor linear systems theory. Key features of Analysis and Design of Descriptor Linear Systems: • Introduces real-world examples of descriptor linear systems • Provides step-by-step algorithms for important analysis and design problems • Covers both basic and advanced results in the literature of continuous-time descriptor linear systems • Includes three appendices which supply additional relevant materials supporting the content of select chapters in the book The clear presentation of materials and extensive examples make this book easy to understand by a wide audience and therefore general readers will find this book to be a comprehensive introduction to the theory of descriptor linear systems. Researchers will find a comprehensive description of the most recent results in this theory and students will find a solid introduction and overview to some important problems in linear systems theory.

Content Level » Graduate

Keywords » algebraic-differen - continuous-time descriptor systems - control systems theory - descriptor linear system - dynamical order assignment - eigenstructure assignment - linear systems theory - observer design - optimal control - response analysis - singularly perturbed linear systems - systems theory

Related subjects » Algebra - Analysis - Dynamical Systems & Differential Equations - Mechanics

Table of contents 

Preface, xiii.- List of Notations, xvii.- 1 Introduction, 1.- Part I Descriptor Linear Systems Analysis.- 2 Equivalence and Solutions of Descriptor Linear Systems, 35.- 3 Regular Descriptor Linear Systems, 57.- 4 Controllability and Observability, 121.- Part II Descriptor Linear Systems Design.- 5 Regularization of Descriptor Linear Systems, 201.- 6 Dynamical Order Assignment and Normalization, 229.- 7 Impulse Elimination, 267.- 8 Pole Assignment and Stabilization, 309.- 9 Eigenstructure Assignment, 341.- 10 Optimal Control, 375.- 11 Observer Design, 395.- Part III Appendices.- A Some Mathematical Results, 435.- B Rank-constrained Matrix Matching and Least Square Problems, 457.- C Generalized Sylvester Matrix Equations, 471.- Bibliography, 483.- Index, 503.

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