4.5 Article

Necessary conditions for optimal terminal time control problems governed by a Volterra integral equation

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SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-006-9087-7

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maximum principle; optimal time; Volterra equations; necessary conditions; transversality conditions

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We prove the maximum principle for optimal terminal time control problems with the state governed by a Volterra integral equation and constraints depending on the terminal time and the state. We use Pontryagin-type perturbations to reduce the problem to a well-known result of optimization theory.

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