On the Existence of Time Optimal Controls with Constraints of the Rectangular Type for Heat Equations

@article{L2011OnTE,
  title={On the Existence of Time Optimal Controls with Constraints of the Rectangular Type for Heat Equations},
  author={Qi L{\"u} and Gengsheng Wang},
  journal={SIAM J. Control and Optimization},
  year={2011},
  volume={49},
  pages={1124-1149}
}
Abstract. This paper presents a time optimal control problem with control constraints of the rectangular type for internally controlled heat equations. An existence result of time optimal controls for such a problem is established. The rectangular type of control constraints originates from the study of time optimal control problems for ordinary differential equations. In the finite dimensional case, there is no difference between such problems with control constraints of the rectangular type… CONTINUE READING

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