- Includes end-of-chapter summaries, notes and examples
- Focuses on stability and feedback stabilization
- Provides necessary mathematical background information
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- About this Textbook
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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 the authors
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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).
- Reviews
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“I think it is an interesting book, and I would like to recommend it to students and researchers interested in control theory.” (Jin Liang, zbMATH 1425.93001, 2019)
- Table of contents (8 chapters)
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Introduction
Pages 1-19
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Unforced Linear Systems
Pages 21-42
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Stability of Unforced Linear Systems
Pages 43-51
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Linear Systems with Forcing Term
Pages 53-68
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Controllability and Observability of Linear Systems
Pages 69-96
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Table of contents (8 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Stability and Control of Linear Systems
- Authors
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- Andrea Bacciotti
- Series Title
- Studies in Systems, Decision and Control
- Series Volume
- 185
- Copyright
- 2019
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-02405-5
- DOI
- 10.1007/978-3-030-02405-5
- Hardcover ISBN
- 978-3-030-02404-8
- Series ISSN
- 2198-4182
- Edition Number
- 1
- Number of Pages
- XVII, 189
- Number of Illustrations
- 8 b/w illustrations
- Topics
