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Stability and control of linear systems

Bacciotti, Andrea.

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Stability and control of linear systems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Stability and control of linear systems/ by Andrea Bacciotti.
作者:	Bacciotti, Andrea.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xvii, 189 p. :ill., digital ;24 cm.
內容註:	Introduction -- Unforced linear systems -- Stability of unforced linear systems -- Linear systems with forcing term -- Controllability and observability of linear systems -- External stability -- Stabilization -- Frequency domain approach -- Appendix A: Internal stability notions -- Appendix B: Laplace Transform.
Contained By:	Springer eBooks
標題:	Linear systems. -
電子資源:	https://doi.org/10.1007/978-3-030-02405-5
ISBN:	9783030024055

Stability and control of linear systems
Bacciotti, Andrea.

Stability and control of linear systems[electronic resource] /by Andrea Bacciotti. - Cham :Springer International Publishing :2019. - xvii, 189 p. :ill., digital ;24 cm. - Studies in systems, decision and control,v.1852198-4182 ;. - Studies in systems, decision and control ;v.185..

Introduction -- Unforced linear systems -- Stability of unforced linear systems -- Linear systems with forcing term -- Controllability and observability of linear systems -- External stability -- Stabilization -- Frequency domain approach -- Appendix A: Internal stability notions -- Appendix B: Laplace Transform.

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.

ISBN: 9783030024055

Standard No.: 10.1007/978-3-030-02405-5doiSubjects--Topical Terms:

560923
Linear systems.

LC Class. No.: QA402 / .B33 2019

Dewey Class. No.: 003.74

Stability and control of linear systems
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520 $a 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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