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Stability and control of linear systems

Bacciotti, Andrea.

Stability and control of linear systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stability and control of linear systemsby Andrea Bacciotti.
Author:	Bacciotti, Andrea.
Published:	Cham :Springer International Publishing :2019.
Description:	xvii, 189 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Linear systems.
Online resource:	https://doi.org/10.1007/978-3-030-02405-5
ISBN:	9783030024055$q(electronic bk.)

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.3..

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$q(electronic bk.)

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

182249
Linear systems.

LC Class. No.: QA402 / .B33 2019

Dewey Class. No.: 003.74

Stability and control of linear systems
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245 1 0 $a Stability and control of linear systems $h [electronic resource] / $c by Andrea Bacciotti.
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300 $a xvii, 189 p. : $b ill., digital ; $c 24 cm.
490 1 $a Studies in systems, decision and control, $x 2198-4182 ; $v v.185
505 0 $a 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.
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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650 2 4 $a Ordinary Differential Equations. $3 273778
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856 4 0 $u https://doi.org/10.1007/978-3-030-02405-5
950 $a Intelligent Technologies and Robotics (Springer-42732)