3 papers
math.OC2024
Sampling Observability for Heat Equations with Memory
Lingying Ma, Gengsheng Wang, Yubiao Zhang
This paper studies the sampling observability for the heat equations with memory in the lower-order term, where the observation is conducted at a finite number of time instants and…
math.OC2017
Time optimal sampled-data controls for heat equations
Gengsheng Wang, Donghui Yang, Yubiao Zhang
In this paper, we first design a time optimal control problem for the heat equation with sampled-data controls, and then use it to approximate a time optimal control problem for th…
math.OC2014
Attainable subspaces and the bang-bang property of time optimal controls for heat equations
Gengsheng Wang, Yashan Xu, Yubiao Zhang
In this paper, we study two subjects on internally controlled heat equations with time varying potentials: the attainable subspaces and the bang-bang property for some time optimal…