Time-varying Bang-bang Property of Minimal Controls for Approximately Null-controllable Heat Equations

Yanqing Wang, Dong-Hui Yang, Ning Chen

Publication date: 2 March 2017

Abstract: In this paper, optimal time control problems and optimal target control problems are studied for the approximately null-controllable heat equations. Compared with the existed results on these problems, the boundary of control variables are not constants but time varying functions. The time-varying bang-bang property for optimal time control problem, and an equivalence theorem for optimal control problem and optimal target problem are obtained.

Mathematics Subject Classification ID

Heat equation (35K05) Existence theories for optimal control problems involving partial differential equations (49J20)

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