|Proceedings of the Conference on Nonlinear Coherent Structures in Physics and Biology,|
Heriot-Watt University, Edinburgh, July 95
Global Control of a Nonlinear Wave Equation
M. H. Farahi
Department of Applied Mathematical Studies,
Leeds University, Leeds, U.K.
We consider the existence and numerical estimation of the distributed control of a nonlinear wave equation with an integral performance criterion and fixed final state. The problem is modified into one consisting of the minimization of a linear form over a set of pairs of positive measures satisfying linear constrains. The minimizer in the new problem is global; it can be approximated by means of the solution of a finite-dimensional linear programming problem. The solution of this problem is used to construct a nearly optimal control. An example is given to illustrate the procedure.
Last modified Mon Apr 8 16:24:54 GB-Eire 1996