Click Here to Download: https://ouo.io/rGAAL5 Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems By: Martin Gugat Publisher: Birkhäuser Print ISBN: 9783319188898, 3319188895 eText ISBN: 9783319188904, 3319188909 Copyright year: 2015 Format: PDF Available from $ 69.99 USD SKU 9783319188904 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.
