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1995, Volume 1, Issue 4: 547-553. Doi: 10.3934/dcds.1995.1.547
This issue Previous Article On the existence of solutions of the Cauchy problem for porous medium equations with radon measure as initial data Next Article On the 2-D Riemann problem for the compressible Euler equations I. Interaction of shocks and rarefaction waves

Extended wellposedness of optimal control problems

  • 1.

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

Received:  June 30, 1995
Published:  September 1995
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    Abstract
  • 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.
    Mathematics Subject Classification: 49K40, 49J15.

    Citation:
    shu

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