國立高雄大學圖資館 |

Language: English

Back

Generalized homogeneity in systems and control.Volume II,Infinite-dimensional systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Generalized homogeneity in systems and control.by Andrey Polyakov.
remainder title:	Infinite-dimensional systems
Author:	Polyakov, Andrey.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	xvi, 379 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Control theory.
Online resource:	https://doi.org/10.1007/978-3-031-77496-6
ISBN:	9783031774966$q(electronic bk.)

Generalized homogeneity in systems and control.Volume II,Infinite-dimensional systems
Polyakov, Andrey.

Generalized homogeneity in systems and control.Volume II,Infinite-dimensional systems[electronic resource] /Infinite-dimensional systemsby Andrey Polyakov. - Second edition. - Cham :Springer Nature Switzerland :2025. - xvi, 379 p. :ill. (some col.), digital ;24 cm. - Communications and control engineering,2197-7119. - Communications and control engineering..

Chapter 1. Introduction to Abstract Homogeneity -- Chapter 2. Abstract Differential Equations -- Chapter 3. Lyapunov Methods for Abstract Differential Equations -- Chapter 4. Linear Dilations in Abstract Spaces -- Chapter 5. Infinite-Dimensional Homogeneous Mappings -- Chapter 6. Analysis of Infinite-Dimensional Homogeneous Systems -- Chapter 7. Discretization of Infinite-Dimensional Homogeneous Systems -- Chapter 8. Homogeneous Stabilization of Infinite-Dimensional Systems.

The second edition of Generalized Homogeneity in Systems and Control is an introduction to the theory of homogeneous systems, useful for the simplification of many types of nonlinear control problem. It propounds methods that can be employed when linearization proves unsuitable and provides a unified approach to stability and robustness analysis, control and observer design, and system discretization. The second edition splits the coverage of homogeneity, allowing expanded coverage of finite-dimensional systems (in Volume I) and infinite-dimensional systems (in this book). The results are better systematized and easier for readers to study and assimilate. Generalized Homogeneity in Systems and Control Volume II (second edition) moves from stability analysis to the design of controllers for various systems. Key features of the book include: mathematical models of dynamical systems in infinite-dimensional spaces; the theory of linear dilations in Banach and Hilbert spaces (including Lebesgue and Sobolev spaces); abstract differential equations with homogeneous operators (including differential operators); rewritten, reorganized chapters with the addition of substantial new material; robustness analysis of infinite-dimensional homogeneous systems; homogeneous control in a Hilbert space; and consistent discretization of homogeneous systems. Illustrative examples - numerical results, computer simulations and real experiments - support all the theoretical material. The coverage of infinite-dimensional systems presented in this book will be of interest to graduate students of control theory and applied mathematics and academic researchers in control.

ISBN: 9783031774966$q(electronic bk.)

Standard No.: 10.1007/978-3-031-77496-6doiSubjects--Topical Terms:

182248
Control theory.

LC Class. No.: QA402.3

Dewey Class. No.: 629.8312

Generalized homogeneity in systems and control.Volume II,Infinite-dimensional systems
LDR:03359nmm a2200373 a 4500 001 685933
003 DE-He213
005 20250806171549.0
006 m d
007 cr nn 008maaau
008 260209s2025 sz s 0 eng d
020 $a 9783031774966$q(electronic bk.)
020 $a 9783031774959$q(paper)
024 7 $a 10.1007/978-3-031-77496-6 $2 doi
035 $a 978-3-031-77496-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402.3
072 7 $a TJFM $2 bicssc
072 7 $a GPFC $2 bicssc
072 7 $a TEC007000 $2 bisacsh
072 7 $a TJFM $2 thema
082 0 4 $a 629.8312 $2 23
090 $a QA402.3 $b .P781 2025
100 1 $a Polyakov, Andrey. $3 700261
245 1 0 $a Generalized homogeneity in systems and control. $n Volume II, $p Infinite-dimensional systems $h [electronic resource] / $c by Andrey Polyakov.
246 3 0 $a Infinite-dimensional systems
250 $a Second edition.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xvi, 379 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Communications and control engineering, $x 2197-7119
505 0 $a Chapter 1. Introduction to Abstract Homogeneity -- Chapter 2. Abstract Differential Equations -- Chapter 3. Lyapunov Methods for Abstract Differential Equations -- Chapter 4. Linear Dilations in Abstract Spaces -- Chapter 5. Infinite-Dimensional Homogeneous Mappings -- Chapter 6. Analysis of Infinite-Dimensional Homogeneous Systems -- Chapter 7. Discretization of Infinite-Dimensional Homogeneous Systems -- Chapter 8. Homogeneous Stabilization of Infinite-Dimensional Systems.
520 $a The second edition of Generalized Homogeneity in Systems and Control is an introduction to the theory of homogeneous systems, useful for the simplification of many types of nonlinear control problem. It propounds methods that can be employed when linearization proves unsuitable and provides a unified approach to stability and robustness analysis, control and observer design, and system discretization. The second edition splits the coverage of homogeneity, allowing expanded coverage of finite-dimensional systems (in Volume I) and infinite-dimensional systems (in this book). The results are better systematized and easier for readers to study and assimilate. Generalized Homogeneity in Systems and Control Volume II (second edition) moves from stability analysis to the design of controllers for various systems. Key features of the book include: mathematical models of dynamical systems in infinite-dimensional spaces; the theory of linear dilations in Banach and Hilbert spaces (including Lebesgue and Sobolev spaces); abstract differential equations with homogeneous operators (including differential operators); rewritten, reorganized chapters with the addition of substantial new material; robustness analysis of infinite-dimensional homogeneous systems; homogeneous control in a Hilbert space; and consistent discretization of homogeneous systems. Illustrative examples - numerical results, computer simulations and real experiments - support all the theoretical material. The coverage of infinite-dimensional systems presented in this book will be of interest to graduate students of control theory and applied mathematics and academic researchers in control.
650 0 $a Control theory. $3 182248
650 0 $a Automatic control. $3 182078
650 1 4 $a Control and Systems Theory. $3 825946
650 2 4 $a Systems Theory, Control. $3 274654
650 2 4 $a Engineering Mathematics. $3 806481
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Communications and control engineering. $3 558655
856 4 0 $u https://doi.org/10.1007/978-3-031-77496-6
950 $a Intelligent Technologies and Robotics (SpringerNature-42732)