Extendability and Optimal Control After Quenching for Some Ordinary Differential Equations
Extendability and Optimal Control After Quenching for Some Ordinary Differential Equations
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DOI：
10.1007/s10957-015-0858-x
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发表时间：
2015-12
影响因子：
1.9
通讯作者：
P. Lin
中科院分区：
文献类型：
--
作者：
P. Lin
本文首先研究了一类常微分方程的淬火后可拓性。对于有限时间淬灭的解，给出了其淬灭后不可扩展的判据；这意味着该溶液在淬火后具有可扩展性的必要条件。然后，我们考虑了淬火后的最优控制问题。针对这一问题，我们建立了庞特里亚金极大值原理。
This paper first studies the extendability after quenching for some ordinary differential equations. With respect to a solution, which quenches at finite time, we give a criterion of its non-extendability after quenching; it implies a necessary condition of extendability after quenching for this solution. Then, we consider an optimal control problem after quenching. We establish the Pontryagin’s maximum principle to this problem.