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- W1520776842 abstract "We prove the maximum principle for an optimal control problem governed by the system $$y'(t) + A(t)y(t) = f(t,y(t),u(t)),{text{ }}u(t) in U(t), $$ with state constraint $$(y(0),y(T)) in C subset H times H $$ , under three different hypotheses: (H1) C is a convex set with nonempty interior; (H2) $$C = { y_0 } times C_{0,} {text{ with }}C_0 $$ a convex set with nonempty interior in H and the evolution system satisfying compactness hypotheses; (H3) the periodic case $$y(0) = y(T)$$ , with the evolution system satisfying compactness hypotheses. We do not assume the controls to be bounded. We give some examples for distributed control problems." @default.
- W1520776842 created "2016-06-24" @default.
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- W1520776842 date "2000-05-01" @default.
- W1520776842 modified "2023-09-27" @default.
- W1520776842 title "Maximum Principle for a Control Problem Governed by an Evolution Equation" @default.
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- W1520776842 doi "https://doi.org/10.1023/a:1004654800011" @default.
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