Ebook: Analysis and Design of Descriptor Linear Systems

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.

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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.

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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:
Front Matter....Pages i-xix
Front Matter....Pages 33-33
Equivalence and Solutions of Descriptor Linear Systems....Pages 35-55
Regular Descriptor Linear Systems....Pages 57-119
Controllability and Observability....Pages 121-196
Front Matter....Pages 197-197
Regularization of Descriptor Linear Systems....Pages 199-225
Dynamical Order Assignment and Normalization....Pages 227-263
Impulse Elimination....Pages 265-303
Pole Assignment and Stabilization....Pages 305-336
Eigenstructure Assignment....Pages 337-368
Optimal Control....Pages 369-388
Observer Design....Pages 389-426
Front Matter....Pages 427-427
Some Mathematical Results....Pages 429-449
Rank-Constrained Matrix Matching and Least Square Problems....Pages 451-464
Generalized Sylvester Matrix Equations....Pages 465-475
Introduction....Pages 1-31
Back Matter....Pages 477-494

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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:
Front Matter....Pages i-xix
Front Matter....Pages 33-33
Equivalence and Solutions of Descriptor Linear Systems....Pages 35-55
Regular Descriptor Linear Systems....Pages 57-119
Controllability and Observability....Pages 121-196
Front Matter....Pages 197-197
Regularization of Descriptor Linear Systems....Pages 199-225
Dynamical Order Assignment and Normalization....Pages 227-263
Impulse Elimination....Pages 265-303
Pole Assignment and Stabilization....Pages 305-336
Eigenstructure Assignment....Pages 337-368
Optimal Control....Pages 369-388
Observer Design....Pages 389-426
Front Matter....Pages 427-427
Some Mathematical Results....Pages 429-449
Rank-Constrained Matrix Matching and Least Square Problems....Pages 451-464
Generalized Sylvester Matrix Equations....Pages 465-475
Introduction....Pages 1-31
Back Matter....Pages 477-494
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