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math.OC2018
Minimal time impulse control of the heat equation
Yueliang Duan, Lijuan Wang, Can Zhang
The paper is concerned with a kind of minimal time control problem for the heat equation with impulse controls. The purpose of such a problem is to find an optimal impulse control…
math.OC2018
Minimal time control of exact synchronization for parabolic systems
Lijuan Wang, Qishu Yan
This paper studies a kind of minimal time control problems related to the exact synchronization for a controlled linear system of parabolic equations. Each problem depends on two p…
math.OC2018
A Game Problem for Heat Equation
Lijuan Wang, Donghui Yang, Zhiyong Yu
In this paper, we consider a two-person game problem governed by a linear heat equation. The existence of Nash equilibrium for this problem is considered. Moreover, the bang-bang p…