# American Institute of Mathematical Sciences

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October  1995, 1(4): 547-553. doi: 10.3934/dcds.1995.1.547

## Extended wellposedness of optimal control problems

 1 Dipartimento di Matematica, Universita' di Genova, via L.B. Alberti 4, 16132 Genova, Italy

Received  July 1995 Published  August 1995

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.
Citation: T. Zolezzi. Extended wellposedness of optimal control problems. Discrete & Continuous Dynamical Systems - A, 1995, 1 (4) : 547-553. doi: 10.3934/dcds.1995.1.547
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