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Optimal Actuator Location of the Minimum...
Guo, Bao-Zhu...

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Optimal Actuator Location of the Minimum Norm Controls for Heat Equation with General Controlled Domain by Guo, Bao-Zhu ( Author )
Lemonjar Open Access
N.A
22-01-2015
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 Lp(0,T;L2(Ω)). The actuator domain ω is quite general in the sense that it is required only to have a prescribed Lebesgue measure. A relaxation problem is formulated and is transformed into a two-person zero-sum game problem. By the game theory, we develop a necessary and sufficient condition and the existence of relaxed optimal actuator location for p∈[2,+∞], which is characterized by the Nash equilibrium of the associated game problem. An interesting case is for the case of p=2, for which it is shown that the classical optimal actuator location can be obtained from the relaxed optimal actuator location without additional condition. Finally for p=2, a sufficient and necessary condition for classical optimal actuator location is presented.
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Article
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36.88 KB
English
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MYR 0.01
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http://arxiv.org/abs/1501.05448
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