東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁 到查詢結果 [ subject:"Control theory- Mathematical models." ]

切換: 標籤 | MARC模式 | ISBD

Mobile point sensors and actuators i...

Khapalov, Alexander Y.

FindBook

Google Book

Amazon

博客來

Mobile point sensors and actuators in the controllability theory of partial differential equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mobile point sensors and actuators in the controllability theory of partial differential equations/ by Alexander Y. Khapalov.
作者:	Khapalov, Alexander Y.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xvi, 233 p. :ill., digital ;24 cm.
內容註:	1. Introduction -- Part I: 2. Continuous observability of the heat equation under a single mobile point sensor -- 3. Continuous observability of the 2-nd order paragolic equations under degenerate mobile sensors -- Part II: 4. Behavior of solutions of the semilinear heat equation in vanishing time and controllability -- 5. Controllability of the semiliniear heat equation with sublinear term and degenerate actuator -- 6. Controllability of the semilinear reaction-diffusion equation with degenerate actuator -- 7. Semilinear parabolic equations: Mobile point controls vs the locally distributed ones -- Part III: 8. Degenerate sensors in source localization and sensor placement problems -- Part IV: 9. Continuous observability of hyperbolic equations under degenerate sensors -- 10. Controllability of the wave equation governed by mobile point controls -- Part V: 11. Exponential decay for the wave equation equipped with a point damping device -- 12. A vibrating string with shuttle-like point dampers and related observability properties -- References.
Contained By:	Springer eBooks
標題:	Control theory - Mathematical models. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-60414-5
ISBN:	9783319604145

Mobile point sensors and actuators in the controllability theory of partial differential equations
Khapalov, Alexander Y.

Mobile point sensors and actuators in the controllability theory of partial differential equations[electronic resource] /by Alexander Y. Khapalov. - Cham :Springer International Publishing :2017. - xvi, 233 p. :ill., digital ;24 cm.

1. Introduction -- Part I: 2. Continuous observability of the heat equation under a single mobile point sensor -- 3. Continuous observability of the 2-nd order paragolic equations under degenerate mobile sensors -- Part II: 4. Behavior of solutions of the semilinear heat equation in vanishing time and controllability -- 5. Controllability of the semiliniear heat equation with sublinear term and degenerate actuator -- 6. Controllability of the semilinear reaction-diffusion equation with degenerate actuator -- 7. Semilinear parabolic equations: Mobile point controls vs the locally distributed ones -- Part III: 8. Degenerate sensors in source localization and sensor placement problems -- Part IV: 9. Continuous observability of hyperbolic equations under degenerate sensors -- 10. Controllability of the wave equation governed by mobile point controls -- Part V: 11. Exponential decay for the wave equation equipped with a point damping device -- 12. A vibrating string with shuttle-like point dampers and related observability properties -- References.

This book presents a concise study of controllability theory of partial differential equations when they are equipped with actuators and/or sensors that are finite dimensional at every moment of time. Based on the author's extensive research in the area of controllability theory, this monograph specifically focuses on the issues of controllability, observability, and stabilizability for parabolic and hyperbolic partial differential equations. The topics in this book also cover related applied questions such as the problem of localization of unknown pollution sources based on information obtained from point sensors that arise in environmental monitoring. Researchers and graduate students interested in controllability theory of partial differential equations and its applications will find this book to be an invaluable resource to their studies.

ISBN: 9783319604145

Standard No.: 10.1007/978-3-319-60414-5doiSubjects--Topical Terms:

768552
Control theory
--Mathematical models.

LC Class. No.: QA402.3

Dewey Class. No.: 515.642

Mobile point sensors and actuators in the controllability theory of partial differential equations
LDR:02900nmm a2200313 a 4500 001 2109106
003 DE-He213
005 20180328095406.0
006 m d
007 cr nn 008maaau
008 180519s2017 gw s 0 eng d
020 $a 9783319604145 $q (electronic bk.)
020 $a 9783319604138 $q (paper)
024 7 $a 10.1007/978-3-319-60414-5 $2 doi
035 $a 978-3-319-60414-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402.3
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515.642 $2 23
090 $a QA402.3 $b .K45 2017
100 1 $a Khapalov, Alexander Y. $3 1076823
245 1 0 $a Mobile point sensors and actuators in the controllability theory of partial differential equations $h [electronic resource] / $c by Alexander Y. Khapalov.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xvi, 233 p. : $b ill., digital ; $c 24 cm.
505 0 $a 1. Introduction -- Part I: 2. Continuous observability of the heat equation under a single mobile point sensor -- 3. Continuous observability of the 2-nd order paragolic equations under degenerate mobile sensors -- Part II: 4. Behavior of solutions of the semilinear heat equation in vanishing time and controllability -- 5. Controllability of the semiliniear heat equation with sublinear term and degenerate actuator -- 6. Controllability of the semilinear reaction-diffusion equation with degenerate actuator -- 7. Semilinear parabolic equations: Mobile point controls vs the locally distributed ones -- Part III: 8. Degenerate sensors in source localization and sensor placement problems -- Part IV: 9. Continuous observability of hyperbolic equations under degenerate sensors -- 10. Controllability of the wave equation governed by mobile point controls -- Part V: 11. Exponential decay for the wave equation equipped with a point damping device -- 12. A vibrating string with shuttle-like point dampers and related observability properties -- References.
520 $a This book presents a concise study of controllability theory of partial differential equations when they are equipped with actuators and/or sensors that are finite dimensional at every moment of time. Based on the author's extensive research in the area of controllability theory, this monograph specifically focuses on the issues of controllability, observability, and stabilizability for parabolic and hyperbolic partial differential equations. The topics in this book also cover related applied questions such as the problem of localization of unknown pollution sources based on information obtained from point sensors that arise in environmental monitoring. Researchers and graduate students interested in controllability theory of partial differential equations and its applications will find this book to be an invaluable resource to their studies.
650 0 $a Control theory $x Mathematical models. $3 768552
650 0 $a Differential equations, Partial. $3 518115
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Systems Theory, Control. $3 893834
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-60414-5
950 $a Mathematics and Statistics (Springer-11649)