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• W2963925087 abstract "In this paper, we study optimal actuator location of the minimum norm controls for a multi-dimensional heat equation with control defined in the space L2(Ω×(0,T)). The actuator domain is time-varying in the sense that it is only required to have a prescribed Lebesgue measure for any moment. We select an optimal actuator location so that the optimal control takes its minimal norm over all possible actuator domains. We build a framework of finding the Nash equilibrium so that we can develop a sufficient and necessary condition to characterize the optimal relaxed solutions for both actuator location and corresponding optimal control of the open-loop system. The existence and uniqueness of the optimal classical solutions are therefore concluded. As a result, we synthesize both optimal actuator location and corresponding optimal control into a time-varying feedbacks." @default.
• W2963925087 created "2019-07-30" @default.
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• W2963925087 date "2016-09-01" @default.
• W2963925087 modified "2023-10-09" @default.
• W2963925087 title "Optimal actuator location of minimum norm controls for heat equation with general controlled domain" @default.
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• W2963925087 doi "https://doi.org/10.1016/j.jde.2016.05.037" @default.
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