Causal state feedback representation for infinite horizon LQ problems of fractional systems

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-08-24 DOI:10.1016/j.amc.2025.129692

Jianping Huang , Huacheng Zhou

引用次数: 0

Abstract

In this paper, we consider the feedback representation problem of the optimal control for infinite horizon linear quadratic optimal control problems of fractional systems. By employing the characterization of the optimal control pair and a family of projection operators, we derive the causal state feedback representations which depend only on the history value of the state and does not rely on further state value. Finally, two illustrative examples are included.

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分数系统无穷视界LQ问题的因果状态反馈表示

研究了分数阶系统无穷视界线性二次最优控制问题的最优控制反馈表示问题。利用最优控制对的表征和一组投影算子，导出了仅依赖于状态的历史值而不依赖于进一步状态值的因果状态反馈表示。最后，给出了两个说明性示例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.