In this paper, we consider a class of optimalcontrolproblems involving a second-order, linear parabolic partial differential equation with Neumann boundary conditions. The time-delayed arguments are assumed to appea...
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In this paper, we consider a class of optimalcontrolproblems involving a second-order, linear parabolic partial differential equation with Neumann boundary conditions. The time-delayed arguments are assumed to appear in the boundary conditions. A necessary and sufficient condition for optimality is derived, and an iterative method for solving this optimalcontrol problem is proposed. The convergence property of this iterative method is also investigated.
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