The book "Switched Linear Systems: Control and Design" presents a comprehensive study of switched linear systems, which are hybrid systems composed of multiple linear subsystems and a switching rule. It explores fundamental problems in switched linear systems, integrating new concepts and state-of-the-art results to form a systematic approach for switching design and feedback control. The book provides a theoretical framework that extends linear system theory and applies to more realistic problems.
The book is intended for researchers and engineers in the system and control community, as well as for postgraduate students studying linear and nonlinear system theory. It contains seven chapters that explore various independent yet related topics in detail. Chapter 1 introduces the system description, background, and motivation, presenting general concepts and fundamental observations. Chapter 2 reviews necessary facts from linear algebra, stability theory, and other useful tools. Chapter 3 deals with stabilizing switching design for switched autonomous systems, considering stability, switching frequency, and robustness. Chapter 4 addresses controllability, observability, feedback equivalence, and canonical forms for switched control systems. Chapter 5 investigates feedback stabilization, focusing on the design of stabilizing switching/input laws. Chapter 6 addresses two optimization problems for switched linear systems, including optimal switching and control. Chapter 7 concludes the book by summarizing the main results and presenting related open problems.
The book provides a systematic approach to switched linear systems, integrating novel ideas, fresh insights, and rigorous results. It serves as a foundation for further theoretical research and a guide for engineering applications. The logical connections among the chapters are presented, showing how each chapter builds upon the previous ones to form a cohesive framework for understanding and controlling switched linear systems. The book also includes acknowledgments and a list of symbols, providing a comprehensive resource for the study of switched linear systems.The book "Switched Linear Systems: Control and Design" presents a comprehensive study of switched linear systems, which are hybrid systems composed of multiple linear subsystems and a switching rule. It explores fundamental problems in switched linear systems, integrating new concepts and state-of-the-art results to form a systematic approach for switching design and feedback control. The book provides a theoretical framework that extends linear system theory and applies to more realistic problems.
The book is intended for researchers and engineers in the system and control community, as well as for postgraduate students studying linear and nonlinear system theory. It contains seven chapters that explore various independent yet related topics in detail. Chapter 1 introduces the system description, background, and motivation, presenting general concepts and fundamental observations. Chapter 2 reviews necessary facts from linear algebra, stability theory, and other useful tools. Chapter 3 deals with stabilizing switching design for switched autonomous systems, considering stability, switching frequency, and robustness. Chapter 4 addresses controllability, observability, feedback equivalence, and canonical forms for switched control systems. Chapter 5 investigates feedback stabilization, focusing on the design of stabilizing switching/input laws. Chapter 6 addresses two optimization problems for switched linear systems, including optimal switching and control. Chapter 7 concludes the book by summarizing the main results and presenting related open problems.
The book provides a systematic approach to switched linear systems, integrating novel ideas, fresh insights, and rigorous results. It serves as a foundation for further theoretical research and a guide for engineering applications. The logical connections among the chapters are presented, showing how each chapter builds upon the previous ones to form a cohesive framework for understanding and controlling switched linear systems. The book also includes acknowledgments and a list of symbols, providing a comprehensive resource for the study of switched linear systems.