Stability and Control of Linear Systems: 185 (Studies in Systems, Decision and Control, 185) - Hardcover

Bacciotti, Andrea

Hardcover

ISBN 10: 3030024040 ISBN 13: 9783030024048

Publisher: Springer, 2018

Synopsis

This advanced textbook introduces the main concepts and advances in systems and control theory, and highlights the importance of geometric ideas in the context of possible extensions to the more recent developments in nonlinear systems theory. Although inspired by engineering applications, the content is presented within a strong theoretical framework and with a solid mathematical background, and the reference models are always finite dimensional, time-invariant multivariable linear systems. The book focuses on the time domain approach, but also considers the frequency domain approach, discussing the relationship between the two approaches, especially for single-input-single-output systems. It includes topics not usually addressed in similar books, such as a comparison between the frequency domain and the time domain approaches, bounded input bounded output stability (including a characterization in terms of canonical decomposition), and static output feedback stabilization for which a simple and original criterion in terms of generalized inverse matrices is proposed.

The book is an ideal learning resource for graduate students of control theory and automatic control courses in engineering and mathematics, as well as a reference or self-study guide for engineers and applied mathematicians.

About this title

About the Author

Andrea Bacciotti is full professor of Mathematical Analysis at Politecnico di Torino, Italy, where he also served as dean of the Mathematics Department. His research interests focus on ordinary differential equations, differential inclusions, mathematical control theory and switched systems theory. With Springer he already published the book Liapunov Functions and Stability in Control Theory (ISBN 978-3-540-21332-1).

From the Back Cover

This advanced textbook introduces the main concepts and advances in systems and control theory, and highlights the importance of geometric ideas in the context of possible extensions to the more recent developments in nonlinear systems theory. Although inspired by engineering applications, the content is presented within a strong theoretical framework and with a solid mathematical background, and the reference models are always finite dimensional, time-invariant multivariable linear systems. The book focuses on the time domain approach, but also considers the frequency domain approach, discussing the relationship between the two approaches, especially for single-input-single-output systems. It includes topics not usually addressed in similar books, such as a comparison between the frequency domain and the time domain approaches, bounded input bounded output stability (including a characterization in terms of canonical decomposition), and static output feedback stabilization for which a simple and original criterion in terms of generalized inverse matrices is proposed.

The book is an ideal learning resource for graduate students of control theory and automatic control courses in engineering and mathematics, as well as a reference or self-study guide for engineers and applied mathematicians.

Edition details

• Publisher: Springer
• Publication date: 2018
• Language: English
• ISBN 10: 3030024040
• ISBN 13: 9783030024048
• Binding: Hardcover
• Edition number: 1
• Number of pages: 206