Titlebook: Control and Estimation of Distributed Parameter Systems; International Confer W. Desch,F. Kappel,K. Kunisch Conference proceedings 1998 Spr

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Forschung und Praxis an der FHWien der WKWUsing nonlinear programming theory we derive a version of Pontryagin’s maximum principle for abstract parabolic equations that includes state constraints and allows unbounded control sets. The results are shown to apply to parabolic distributed parameter systems and to the Navier-Stokes equations.

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https://doi.org/10.1007/978-3-658-13578-2In this paper, we analyze the approximate controllability and the exact-to- zero controllability in quadratic mean of systems governed by stochastic partial differential equations of a particular kind. We obtain several results which are similar to those known for similar deterministic systems.

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易弯曲

On the Behaviour of the Value Function of a Mayer Optimal Control Problem along Optimal TrajectorieWe consider a Mayer optimal control problem for a system governed by a semilinear evolution equation of parabolic type.

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Control Problems for Parabolic Equations with State Constraints and Unbounded Control Sets,Using nonlinear programming theory we derive a version of Pontryagin’s maximum principle for abstract parabolic equations that includes state constraints and allows unbounded control sets. The results are shown to apply to parabolic distributed parameter systems and to the Navier-Stokes equations.