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

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 of partial differential equations, this monograph specifically focuses on the issues of controllability, observability, and stabilizability for parabolic and hyperbolic partial differential equations as well as related applied questions such as the problem of localization of unknown pollution sources based on the information obtained from point sensors that arise in environmental monitoring. Researchers and graduate students in the area of controllability theory and partial differential equations will find this book to be an invaluable resource to their studies.

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