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Convergence of optimal solutions in control problems for hyperbolic equations

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Migórski S.

Annales Polonici Mathematici

1995

tom 62

nr 2

111-121

A sequence of optimal control problems for systems governed by linear hyperbolic equations with the nonhomogeneous Neumann boundary conditions is considered. The integral cost functionals and the differential operators in the equations depend on the parameter k. We deal with the limit behaviour, as k → ∞, of the sequence of optimal solutions using the notions of G- and Γ-convergences. The conditions under which this sequence converges to an optimal solution for the limit problem are given.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Migórski S.

1 1995

Wyniki wyszukiwania

Convergence of optimal solutions in control problems for hyperbolic equations