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Set-theoretic methods in control

Blanchini, Franco.

Set-theoretic methods in control

Record Type:	Electronic resources : Monograph/item
Title/Author:	Set-theoretic methods in controlby Franco Blanchini, Stefano Miani.
Author:	Blanchini, Franco.
other author:	Miani, Stefano.
Published:	Cham :Springer International Publishing :2015.
Description:	xvi, 630 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Set theory.
Online resource:	http://dx.doi.org/10.1007/978-3-319-17933-9
ISBN:	9783319179339 (electronic bk.)

Set-theoretic methods in control
Blanchini, Franco.

Set-theoretic methods in control[electronic resource] /by Franco Blanchini, Stefano Miani. - 2nd ed. - Cham :Springer International Publishing :2015. - xvi, 630 p. :ill., digital ;24 cm. - Systems & control: foundations & applications,2324-9749. - Systems & control: foundations & applications..

Preface -- Introduction -- Lyapunov and Lyapunov-like Function -- Convex Sets and Their Representation -- Invariant Sets -- Dynamic Programming -- Set-Theoretic Analysis of Dynamic Systems -- Control of Parameter-Varying Systems -- Control with Time-Domain Constraints -- Switching and Switched Systems -- (Sub-)Optimal Control -- Set-Theoretic Estimation -- Related Topics -- Appendix -- References -- Index.

The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint. This approach is linked to fundamental control problems, such as Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. Completely self-contained, this book provides a solid foundation of mathematical techniques and applications, extensive references to the relevant literature, and numerous avenues for further theoretical study. All the material from the first edition has been updated to reflect the most recent developments in the field, and a new chapter on switching systems has been added. Each chapter contains examples, case studies, and exercises to allow for a better understanding of theoretical concepts by practical application. The mathematical language is kept to the minimum level necessary for the adequate formulation and statement of the main concepts, yet allowing for a detailed exposition of the numerical algorithms for the solution of the proposed problems. Set-Theoretic Methods in Control will appeal to both researchers and practitioners in control engineering and applied mathematics. It is also well-suited as a textbook for graduate students in these areas. Praise for the First Edition "This is an excellent book, full of new ideas and collecting a lot of diverse material related to set-theoretic methods. It can be recommended to a wide control community audience." -B. T. Polyak, Mathematical Reviews "This book is an outstanding monograph of a recent research trend in control. It reflects the vast experience of the authors as well as their noticeable contributions to the development of this field...[It] is highly recommended to PhD students and researchers working in control engineering or applied mathematics. The material can also be used for graduate courses in these areas." -Octavian Pastravanu, Zentralblatt MATH.

ISBN: 9783319179339 (electronic bk.)

Standard No.: 10.1007/978-3-319-17933-9doiSubjects--Topical Terms:

190892
Set theory.

LC Class. No.: QA248

Dewey Class. No.: 511.322

Set-theoretic methods in control
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505 0 $a Preface -- Introduction -- Lyapunov and Lyapunov-like Function -- Convex Sets and Their Representation -- Invariant Sets -- Dynamic Programming -- Set-Theoretic Analysis of Dynamic Systems -- Control of Parameter-Varying Systems -- Control with Time-Domain Constraints -- Switching and Switched Systems -- (Sub-)Optimal Control -- Set-Theoretic Estimation -- Related Topics -- Appendix -- References -- Index.
520 $a The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint. This approach is linked to fundamental control problems, such as Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. Completely self-contained, this book provides a solid foundation of mathematical techniques and applications, extensive references to the relevant literature, and numerous avenues for further theoretical study. All the material from the first edition has been updated to reflect the most recent developments in the field, and a new chapter on switching systems has been added. Each chapter contains examples, case studies, and exercises to allow for a better understanding of theoretical concepts by practical application. The mathematical language is kept to the minimum level necessary for the adequate formulation and statement of the main concepts, yet allowing for a detailed exposition of the numerical algorithms for the solution of the proposed problems. Set-Theoretic Methods in Control will appeal to both researchers and practitioners in control engineering and applied mathematics. It is also well-suited as a textbook for graduate students in these areas. Praise for the First Edition "This is an excellent book, full of new ideas and collecting a lot of diverse material related to set-theoretic methods. It can be recommended to a wide control community audience." -B. T. Polyak, Mathematical Reviews "This book is an outstanding monograph of a recent research trend in control. It reflects the vast experience of the authors as well as their noticeable contributions to the development of this field...[It] is highly recommended to PhD students and researchers working in control engineering or applied mathematics. The material can also be used for graduate courses in these areas." -Octavian Pastravanu, Zentralblatt MATH.
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