Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Other Sciences, System Theory
Cover of the book Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations by Alexander Y. Khapalov, Springer International Publishing
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Author: Alexander Y. Khapalov ISBN: 9783319604145
Publisher: Springer International Publishing Publication: September 15, 2017
Imprint: Springer Language: English
Author: Alexander Y. Khapalov
ISBN: 9783319604145
Publisher: Springer International Publishing
Publication: September 15, 2017
Imprint: Springer
Language: English

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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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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