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Extended wellposedness of optimal control problems. (English) Zbl 0867.49021
Summary: A concept of wellposedness is applied to control problems monitored by ordinary differential equations. This concept does not impose uniqueness of the optimal control, and requires strong convergence of every asymptotically minimizing sequence corresponding to small perturbations of the initial state. Sufficient conditions for such a form of wellposedness are obtained via Tikhonov wellposedness of the pointwise maximization of the Hamiltonian function.

MSC:
49K40 Sensitivity, stability, well-posedness
49J15 Existence theories for optimal control problems involving ordinary differential equations
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