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

紀錄類型:	書目-語言資料,印刷品 : 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.;
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:

884936
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
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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.
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