Optimal Control Of Nonlinear Time Delay Parabolic Pde

This paper is concerned with the nearly-optimal control problem of nonlinear time delay parabolic equations. The optimal control problem is expressed as a minimization formulation, which has a linear form over a set of positive measures satisfying linear constraints. Then the proposed minimization problem is approximated by a finite dimensional linear programming problem, and the optimal control law of piecewise constant function is obtained from the linear programming problem, a numerical example is given to illustrate the effectiveness.