SpringerBriefs in Electrical and Computer Engineering

Gugat, Martin

This brief considers recent results on optimal control and stabilization of systems governed by hyperbolic partial differential equations, specifically those in which the control action takes place at the boundary.  The wave equation is used as a typical example of a linear system, through which the author explores initial boundary value problems, concepts of exact controllability, optimal exact control, and boundary stabilization.  Nonlinear systems are also covered, with the Korteweg-de Vries and Burgers Equations serving as standard examples.  To keep the presentation as accessible as possible, the author uses the case of a system with a state that is defined on a finite space interval, so that there are only two boundary points where the system can be controlled.  Graduate and post-graduate students as well as researchers in the field will find this to be an accessible introduction to problems of optimal control and stabilization.

Details

Published by: Birkhäuser

Publication Date: 2015-07-24

Format: Paperback

ISBN-13: 9783319188898

DOI: 10.1007/978-3-319-18890-4

Dimensions: 235cm x155cm

Pages: 140