EAN: 9783319188898

SPRINGERBRIEFS IN ELECTRICAL AND COMPUTER ENGIN...

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.

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