OPTIMAL-CONTROL OF A CLASS OF NONLINEAR EVOLUTION-EQUATIONS
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KRAVVARITIS, D
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PAPAGEORGIOU, NS
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The optimal control of a class of non-linear evolution equations with control constraints. defined in a Gelfand triple of spaces, is discussed. First we establish the existence of optimal admissible pairs. using the Cesari-Rockafellar reduction technique. Then we obtain necessary conditions for optimality for a problem with a non-smooth cost functional. Then for a terminal-cost version of our problem we obtain a bang-bang characterization of the optimal control. Finally an example of a parabolic distributed parameter system is worked out in detail.
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