Geodesic
Convergence of optimal solutions in control problems for hyperbolic equations
Annales Polonici Mathematici, Tome 62 (1995) no. 2, pp. 111-121 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap-62-2-111-121
Keywords: control problem, hyperbolic equation, G-convergence, Γ-convergence

S. Migórski 1

1 
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S. Migórski. Convergence of optimal solutions in control problems for hyperbolic equations. Annales Polonici Mathematici, Tome 62 (1995) no. 2, pp. 111-121. doi: 10.4064/ap-62-2-111-121

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