Descript 
xvi, 233 pages : illustrations ; 25 cm 

text txt rdacontent 

unmediated n rdamedia 

volume nc rdacarrier 
Note 
Includes bibliographical references (pages 229233) and index 

Introduction  Continuous Observability of the Heat Equation Under a Single Mobile Point Sensor  Continuous Observability of SecondOrder Parabolic Equations Under Degenerate Mobile Sensors  Behavior of Solutions of the Semilinear Heat Equation in Vanishing Time and Controllability  Controllability of the Semilinear Heat Equation with a Sublinear Term and a Degenerate Actuator  Controllability of the Semilinear ReactionDiffusion Equation with a Degenerate Actuator  Semilinear Parabolic Equations: Mobile Point Controls Versus Locally Distributed Ones  Degenerate Sensors in Source Localization and Sensor Placement Problems  Continuous Observability of Hyperbolic Equations under Degenerate Sensors  Controllability of the Wave Equation Governed by Mobile Point Controls  Exponential Decay for the Wave Equation Equipped with a Point Damping Device  A Vibrating String with ShuttleLike Point Dampers and Related Observability Properties 

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 
Subject 
Control theory  Mathematical models


Differential equations, Partial

