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Existence of optimal controls for a general class of impulsive systems on Banach spaces. (English) Zbl 1037.49036

Summary: This paper presents some results on the question of existence of optimal controls for a large class of semilinear impulsive systems in infinite dimensional spaces with admissible controls from the space of vector measures. This also includes, as a special case, the class of purely impulsive controls. Two physical examples are presented for illustration.

MSC:

49N25 Impulsive optimal control problems
34G20 Nonlinear differential equations in abstract spaces
34K30 Functional-differential equations in abstract spaces
34K35 Control problems for functional-differential equations
49K27 Optimality conditions for problems in abstract spaces
93C25 Control/observation systems in abstract spaces
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