On periodic solution to control problem with time-driven switching

被引：6

作者：

Gromov, Dmitry ^{[1
,2
]}

Bondarev, Anton ^{[3
]}

Gromova, Ekaterina ^{[2
,4
]}

机构：

[1] St Petersburg State Univ, Fac Appl Math & Optimal Proc, Univ Emb 7-9, St Petersburg 199034, Russia

[2] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, Ekaterinburg 620990, Russia

[3] Xian Jiaotong Liverpool Univ, Int Business Sch Suzhou, Renai Rd 111, Suzhou 215123, Peoples R China

[4] Natl Res Univ Higher Sch Econ, Dept Math, St Petersburg Campus 16,Soyuza Pechatnikov Str, St Petersburg 190121, Russia

来源：

OPTIMIZATION LETTERS | 2022年 / 16卷 / 07期

基金：

俄罗斯科学基金会;

关键词：

Switched dynamics; Optimal control; Hybrid optimal control; Periodic system; DIFFERENTIAL GAME; POLLUTION; WETTABILITY; MODELS;

D O I：

10.1007/s11590-021-01749-6

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this contribution, we consider the optimal control problem for a switched dynamical system. While such systems can exhibit rather complex behavior in the case of only one switch, the most interesting problem corresponds to the case, when the system undergoes an infinite number of switches. We study the limiting behavior of optimal solutions under such assumption and show that there are three types of solutions, two of which correspond to cyclic evolution of the system state and control.

引用

页码：2019 / 2031

页数：13

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