Authors:
- Includes end-of-chapter summaries, notes and examples
- Focuses on stability and feedback stabilization
- Provides necessary mathematical background information
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 185)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
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.
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Authors and Affiliations
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Dipartimento di Scienze Matematiche “G.L. Lagrange” (DISMA: Dipartimento di eccellenza 2018–22), Politecnico di Torino, Turin, Italy
Andrea Bacciotti
About the author
Bibliographic Information
Book Title: Stability and Control of Linear Systems
Authors: Andrea Bacciotti
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-030-02405-5
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-02404-8Published: 14 November 2018
eBook ISBN: 978-3-030-02405-5Published: 02 November 2018
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XVII, 189
Number of Illustrations: 8 b/w illustrations
Topics: Control and Systems Theory, Systems Theory, Control, Ordinary Differential Equations, Engineering Mathematics