Optimal feedback control problems for a semi-linear neutral retarded integro-differential system
Optimal feedback control problems for a semi-linear neutral retarded integro-differential system
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DOI：
10.1080/00207179.2023.2181650
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发表时间：
2023-02
影响因子：
2.1
通讯作者：
Hai Huang;Tingting Feng;Xianlong Fu
中科院分区：
文献类型：
--
作者：
Hai Huang;Tingting Feng;Xianlong Fu
本文考虑半线性中性延迟积分微分系统的最优和时间最优反馈控制问题。应用线性中性积分微分演化系统的求解算子理论、算子的分数幂和Schauder不动点定理，研究了所考虑系统的温和解和可行对的存在性。然后在一些合适的假设下通过极限参数研究系统的拉格朗日最优反馈控制问题。这里也提出并仔细讨论了时间最优反馈控制问题。最后给出一个例子来说明所得到的结果。
This article considers the optimal and time optimal feedback control problems for a semi-linear neutral retarded integro-differential system. The existence of mild solutions and feasible pairs for the considered system is studied by applying theory of resolvent operators for linear neutral integro-differential evolution systems, fractional powers of operators and Schauder fixed point theorem. Then the Lagrange optimal feedback control problem for the system is investigated via limit arguments under some suitable assumptions. The time optimal feedback control problem is proposed and discussed deliberately here as well. An example is presented in the end to illustrate the obtained results.