Minimal time control of exact synchronization for parabolic systems
Minimal time control of exact synchronization for parabolic systems
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DOI：
10.1051/cocv/2021043
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发表时间：
2018-03
期刊：
影响因子：
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通讯作者：
Lijuan Wang;Qishu Yan
中科院分区：
文献类型：
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作者：
Lijuan Wang;Qishu Yan
研究了一类与受控线性抛物方程组精确同步有关的极小时间控制问题。每个问题取决于两个参数：控制的界限和初始状态。这样一个问题的目的是找到一个控制（从约束集）同步组件的相应的解决方案向量的受控系统在最短的时间。本文建立了最优时间和最优控制的一个充要条件，并得到了最优控制的存在性如何依赖于这两个参数。
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 parameters: the bound of controls and the initial state. The purpose of such a problem is to find a control (from a constraint set) synchronizing components of the corresponding solution vector for the controlled system in the shortest time. In this paper, we build up a necessary and sufficient condition for the optimal time and the optimal control; we also obtain how the existence of optimal controls depends on the above mentioned two parameters.