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Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems

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Abstract

A method of estimating the rate of convergence of approximation to convex, control-constrained optimal-control problems is proposed. In the method, conditions of optimality involving projections on the set of admissible control are exploited. General results are illustrated by examples of Galerkin-type approximations to optimal-control problems for parabolic systems.

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Communicated by A. V. Balakrishnan

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Malanowski, K. Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems. Appl Math Optim 8, 69–95 (1982). https://doi.org/10.1007/BF01447752

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