Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
Birkhäuser | Mathematics | July 21 2015 | ISBN-10: 3319188895 | 140 pages | pdf | 1.68 mb
Birkhäuser | Mathematics | July 21 2015 | ISBN-10: 3319188895 | 140 pages | pdf | 1.68 mb
by Martin Gugat (Author)
Includes the most recent results on optimal control and stabilization of systems governed by hyperbolic PDEs
About the Book
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
About the Author
Martin Gugat is Professor in the Department of Mathematics at Friedrich-Alexander-University, Erlangen-Nürnberg, Germany.
Number of Illustrations and Tables
1 illus., 2 in colour
Topics
Systems Theory, Control
Partial Differential Equations
Calculus of Variations and Optimal Control; Optimization
Control
Continuous Optimization