UDC 517.9
APPROXIMATE OPTIMAL CONTROLLER FOR A WEAKLY NONLINEAR
EVOLUTIONARY EQUATION OF PARABOLIC TYPE
Abstract. We consider the optimal control problem for solutions of a parabolic equation
with the right-hand side of the form ε F ( y),
where ε > 0 is a small parameter,
with a coercive cost functional and bounded control. Using the formula of the optimal controller of the undisturbed problem, the form of the approximate controller with switching for the initial problem is substantiated.
Keywords: optimal control, nonlinear parabolic equation, optimal controller.
FULL TEXT
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