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
收藏
页码：2019 / 2031
页数：13
相关论文
共 50 条
  • [21] Time-Driven Activity Based Costing as a Service
    Machado, Andre
    Mendes, Carlos
    da Silva, Miguel Mira
    Almeida, Joao
    ENTERPRISE INFORMATION SYSTEMS (ICEIS 2015), 2015, 241 : 633 - 653
  • [22] The Impact of Refinement on the Accuracy of Time-driven ABC
    Hoozee, Sophie
    Vermeire, Lea
    Bruggeman, Werner
    ABACUS-A JOURNAL OF ACCOUNTING FINANCE AND BUSINESS STUDIES, 2012, 48 (04): : 439 - 472
  • [23] An analytical model for time-driven cache attacks
    Tiri, Kris
    Aciicmez, Onur
    Neve, Michael
    Andersen, Flemming
    FAST SOFTWARE ENCRYPTION, 2007, 4593 : 399 - +
  • [24] Time-driven effects on processing grammatical agreement
    Roll, Mikael
    Gosselke, Sabine
    Lindgren, Magnus
    Horne, Merle
    FRONTIERS IN PSYCHOLOGY, 2013, 4
  • [25] Robust Delay Independent Stability Analysis for the Switched Interval Time-Delay Systems with Time-Driven Switching Strategy
    Chiou, Juing-Shian
    Li, Jen-Hsing
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [26] On the complementary nature of event-driven and time-driven models
    Universita degli Studi di Milano, Milan, Italy
    Control Eng Pract, 6 (847-854):
  • [27] Time-Driven Effects on Processing Relative Clauses
    Schremm, Andrea
    Horne, Merle
    Roll, Mikael
    JOURNAL OF PSYCHOLINGUISTIC RESEARCH, 2016, 45 (05) : 1033 - 1044
  • [28] Adaptive group multicast with time-driven priority
    Baldi, M
    Ofek, Y
    Yener, B
    IEEE-ACM TRANSACTIONS ON NETWORKING, 2000, 8 (01) : 31 - 43
  • [29] Time-driven activity-based costing
    Kaplan, RS
    Anderson, SR
    HARVARD BUSINESS REVIEW, 2004, 82 (11) : 131 - +
  • [30] On the complementary nature of event-driven and time-driven models
    DePaoli, F
    Tisato, F
    CONTROL ENGINEERING PRACTICE, 1996, 4 (06) : 847 - 854
12345