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Controllability of singularly pertur...

Glizer, Valery Y.

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Controllability of singularly perturbed linear time delay systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Controllability of singularly perturbed linear time delay systems/ by Valery Y. Glizer.
Author:	Glizer, Valery Y.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xii, 419 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Singularly Perturbed Linear Time Delay Systems -- Euclidean Space Output Controllability of Linear Systems with State Delays -- Complete Euclidean Space Controllability of Linear Systems with State and Control Delays -- First-Order Euclidean Space Controllability Conditions for Linear Systems with Small State Delays -- Miscellanies.
Contained By:	Springer Nature eBook
Subject:	Linear systems. -
Online resource:	https://doi.org/10.1007/978-3-030-65951-6
ISBN:	9783030659516

Controllability of singularly perturbed linear time delay systems
Glizer, Valery Y.

Controllability of singularly perturbed linear time delay systems[electronic resource] /by Valery Y. Glizer. - Cham :Springer International Publishing :2021. - xii, 419 p. :ill., digital ;24 cm. - Systems & control: foundations & applications,2324-9749. - Systems & control: foundations & applications..

Introduction -- Singularly Perturbed Linear Time Delay Systems -- Euclidean Space Output Controllability of Linear Systems with State Delays -- Complete Euclidean Space Controllability of Linear Systems with State and Control Delays -- First-Order Euclidean Space Controllability Conditions for Linear Systems with Small State Delays -- Miscellanies.

This monograph provides a comprehensive analysis of the control of singularly perturbed time delay systems. Expanding on the author's previous work on controllability of linear systems with delays in the state and control variables, this volume's comprehensive coverage makes it a valuable addition to the field. Each chapter is self-contained, allowing readers to study them independently or in succession. After a brief introduction, the book systematically examines properties of different classes of singularly perturbed time delay systems, including linear time-dependent systems with multiple point-wise and distributed state delays. The author then considers more general singularly perturbed systems with state and control delays. Euclidean space controllability for all of these systems is also discussed, using numerous examples from real-life models throughout the text to illustrate the results presented. More technically complicated proofs are presented in separate subsections. The final chapter includes a section dedicated to non-linear time delay systems. This book is ideal for researchers, engineers, and graduate students in systems science and control theory. Other applied mathematicians and researchers working in biology and medicine will also find this volume to be a valuable resource.

ISBN: 9783030659516

Standard No.: 10.1007/978-3-030-65951-6doiSubjects--Topical Terms:

560923
Linear systems.

LC Class. No.: QA402

Dewey Class. No.: 003.74

Controllability of singularly perturbed linear time delay systems
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245 1 0 $a Controllability of singularly perturbed linear time delay systems $h [electronic resource] / $c by Valery Y. Glizer.
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490 1 $a Systems & control: foundations & applications, $x 2324-9749
505 0 $a Introduction -- Singularly Perturbed Linear Time Delay Systems -- Euclidean Space Output Controllability of Linear Systems with State Delays -- Complete Euclidean Space Controllability of Linear Systems with State and Control Delays -- First-Order Euclidean Space Controllability Conditions for Linear Systems with Small State Delays -- Miscellanies.
520 $a This monograph provides a comprehensive analysis of the control of singularly perturbed time delay systems. Expanding on the author's previous work on controllability of linear systems with delays in the state and control variables, this volume's comprehensive coverage makes it a valuable addition to the field. Each chapter is self-contained, allowing readers to study them independently or in succession. After a brief introduction, the book systematically examines properties of different classes of singularly perturbed time delay systems, including linear time-dependent systems with multiple point-wise and distributed state delays. The author then considers more general singularly perturbed systems with state and control delays. Euclidean space controllability for all of these systems is also discussed, using numerous examples from real-life models throughout the text to illustrate the results presented. More technically complicated proofs are presented in separate subsections. The final chapter includes a section dedicated to non-linear time delay systems. This book is ideal for researchers, engineers, and graduate students in systems science and control theory. Other applied mathematicians and researchers working in biology and medicine will also find this volume to be a valuable resource.
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