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On infinite-dimensional control systems with state and control constraints. (English) Zbl 0703.49018
Control systems governed by semilinear evolution equations with general time dependent state and control constraints are considered. The relaxed system as well as the dependence of the solution set of the original system on the initial condition is investigated. Then, necessary and sufficient conditions for the solution of nonlinear, convex optimization problems and for controllability are given.
Reviewer: K.-D.Werner

MSC:
49K20 Optimality conditions for problems involving partial differential equations
93C20 Control/observation systems governed by partial differential equations
93B05 Controllability
49K27 Optimality conditions for problems in abstract spaces
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