Optimal control of feedback control systems governed by hemivariational inequalities

Optimal control of feedback control systems governed by hemivariational inequalities
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DOI:
10.1016/j.camwa.2015.08.029
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发表时间:
2015-10
期刊:
Comput. Math. Appl.
影响因子:
--
通讯作者:
Yong Huang;Zhenhai Liu;Biao Zeng
Yong Huang;Zhenhai Liu;Biao Zeng
中科院分区:
其他
文献类型:
--
作者:
Yong Huang;Zhenhai Liu;Biao Zeng

文献摘要

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本文主要研究受演化半变分不等式控制的反馈控制系统。利用多重映射和克拉克次微分的性质,我们制定了一些充分条件来保证反馈控制系统可行对的存在结果。我们还提出了最优控制问题的最优控制对的存在性结果。我们强调,我们的结果不能直接从以前的工作中获得。
This paper is mainly concerned with the feedback control systems governed by evolution hemivariational inequalities. By using the properties of multimaps and Clarke’s subdifferential, we formulate some sufficient conditions to guarantee the existence result of feasible pairs of the feedback control systems. We also present an existence result of optimal control pairs for an optimal control problem. We emphasize that our results cannot be obtained straightforwardly from the previous works.