Titlebook: Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena; International Confer W. Desch,F. Kappel,K. Kunisch Conference

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https://doi.org/10.1007/978-3-658-15166-9meter systems. An infinite number of relaxed problems and corresponding Pontryagin maximum principles are thus obtained, including those described in the literature. A comparison and an abstract unifying viewpoint is thus made possible.

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,Pontryagin’s Principle for Optimal Control Problems Governed by Semilinear Elliptic Equations,aints with Ekeland’s principle. In the absence of equality state constraints we establish the optimality conditions in a qualified form for “almost all” problems. In a first stage, the classical spike perturbations of the controls used to derive Pontryagin’s principle are replaced by a new type of variations.

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