IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v495y2025ics0096300325000591.html
   My bibliography  Save this article

LP-based mode-dependent piece-wise event-triggered finite-time L1 control for switched positive systems under MDMDT constraint

Author

Listed:
  • Li, Shuo
  • Zhang, Yiyun
  • Jia, Yongqi
  • Xiang, Zhengrong
  • Wang, Jinling

Abstract

This paper addresses the design of a finite-time (FT) L1 control utilizing an event-triggered (ET) mechanism for a category of switched positive systems (SPSs) while taking into account the constraint of mode-dependent minimum dwell time (MDMDT). First, a novel ET approach utilizing 1-norm criteria is introduced to formulate the FT control design, and a positivity condition is established. Then, a new class of discretized linear copositive Lyapunov function (DLCLF) is created for the MDMDT constraint, and an ET-FT L1 control scheme in a novel mode-dependent piece-wise format is designed for SPSs subject to the MDMDT constraint. It is noteworthy that through the utilization of matrix decomposition technology on the controller gain matrices Fi,s+ and Fi,s−, the proposed conditions for the devised ET-FT L1 control scheme are formulated in the linear programming (LP) form, rather than the traditionally employed linear matrix inequality (LMI) form. This approach offers a simpler structure and reduced computational complexity compared to the latter. Furthermore, to facilitate the development of FT L1 control, a time-triggered (TT) mechanism is also specifically integrated, and an LP-based TT-FT L1 control scheme in a mode-dependent piece-wise format is designed for SPSs under the MDMDT constraint. With the LP conditions, three examples are presented to show the efficacy and veracity of the devised ET-FT L1 control. Furthermore, a comparative analysis is conducted between the formulated ET-FT L1 control and the TT-FT L1 control, highlighting the superiority of the former.

Suggested Citation

  • Li, Shuo & Zhang, Yiyun & Jia, Yongqi & Xiang, Zhengrong & Wang, Jinling, 2025. "LP-based mode-dependent piece-wise event-triggered finite-time L1 control for switched positive systems under MDMDT constraint," Applied Mathematics and Computation, Elsevier, vol. 495(C).
    • Handle: RePEc:eee:apmaco:v:495:y:2025:i:c:s0096300325000591
    DOI: 10.1016/j.amc.2025.129332
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325000591
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129332?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Zheng, Fuqi & Liu, Jian & Jiao, Ticao & Zhang, Cunshan & Zhao, Jianrong & Jiang, Jishun & Qi, Xiaomei, 2021. "Stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    2. Li, Lili & Guo, Qingjun & Chen, Bingqi & Yue, Wei & Liu, Zhongchang & Sang, Hong, 2024. "Output regulation for switched systems via dual distributed event-triggered mechanisms under multiple deception attacks," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    3. Kang, Yu & Zhang, Niankun & Chen, Guoyong, 2023. "Global exponential stability of impulsive switched positive nonlinear systems with mode-dependent impulses," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    4. Feng, Zhiguang & Zhang, Xinyue & Liu, Jason J.R. & Jiang, Zhengyi, 2024. "A new method of reachable sets estimation for the nonlinear switched singular system with impulsive performance and time-delay," Applied Mathematics and Computation, Elsevier, vol. 481(C).
    5. Qi, Wenhai & Zong, Guangdeng & Cheng, Jun & Jiao, Ticao, 2019. "Robust finite-time stabilization for positive delayed semi-Markovian switching systems," Applied Mathematics and Computation, Elsevier, vol. 351(C), pages 139-152.
    6. Ju, Yanhao & Sun, Yuangong & Meng, Fanwei, 2020. "Stabilization of switched positive system with impulse and marginally stable subsystems: A mode-dependent dwell time method," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xia, Mingli & Liu, Linna & Fang, Jianyin & Qu, Boyang, 2024. "Exponentially weighted input-to-state stability of stochastic differential systems via event-triggered impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Zhang, Lihua & Zhou, Yaoyao & Qi, Wenhai & Cao, Jinde & Cheng, Jun & Wei, Yunliang & Yan, Xiaoyu & Li, Shaowu, 2020. "Non-fragile observer-based H∞ finite-time sliding mode control," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    3. Yao, Hejun & Gao, Fangzheng & Huang, Jiacai & Wu, Yuqiang, 2021. "Global prescribed-time stabilization via time-scale transformation for switched nonlinear systems subject to switching rational powers," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    4. Wang, Jinling & Liang, Jinling & Zhang, Cheng-Tang & Fan, Dongmei, 2021. "Event-triggered non-fragile control for uncertain positive Roesser model with PDT switching mechanism," Applied Mathematics and Computation, Elsevier, vol. 406(C).
    5. Xie, Jiyang & Zhu, Shuqian & Feng, Jun-e, 2020. "Delay-dependent and decay-rate-dependent conditions for exponential mean stability and non-fragile controller design of positive Markov jump linear systems with time-delay," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    6. Zhang, Jie & Sun, Yuangong, 2021. "Practical exponential stability of discrete-time switched linear positive systems with impulse and all modes unstable," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    7. Li, Shuo & Xiang, Zhengrong, 2020. "Positivity, exponential stability and disturbance attenuation performance for singular switched positive systems with time-varying distributed delays," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    8. Li, Mingyue & Wang, Mingzhu & Liu, Wenlu & Wu, Shuchen & Li, Xiaodi, 2023. "Exponential stability of nonlinear systems via event-triggered impulsive control based on partial states," Applied Mathematics and Computation, Elsevier, vol. 459(C).
    9. Li, Zhao-Yan & Shang, Shengnan & Lam, James, 2019. "On stability of neutral-type linear stochastic time-delay systems with three different delays," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 147-166.
    10. Han, Yunrui & Zhao, Ying & Wang, Peng, 2021. "Finite-time rate anti-bump switching control for switched systems," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    11. Feng, Zhiguang & Zhang, Xinyue & Lam, James & Fan, Chenchen, 2023. "Estimation of reachable set for switched singular systems with time-varying delay and state jump," Applied Mathematics and Computation, Elsevier, vol. 456(C).
    12. Kang, Yu & Zhang, Niankun & Chen, Guoyong, 2023. "Global exponential stability of impulsive switched positive nonlinear systems with mode-dependent impulses," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    13. Du, Haibo & Yu, Bo & Wei, Jiajia & Zhang, Jun & Wu, Di & Tao, Weiqing, 2020. "Attitude trajectory planning and attitude control for quad-rotor aircraft based on finite-time control technique," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    14. Li, Jinghan & Zhao, Jun, 2022. "Bumpless transfer based event-triggered control for switched linear systems with state-dependent switching," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    15. Zhong, Yuguang & Song, Dening, 2023. "Nonfragile synchronization control of T-S fuzzy Markovian jump complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    16. Sun, Yuangong & Tian, Yazhou, 2022. "Polynomial stability of positive switching homogeneous systems with different degrees," Applied Mathematics and Computation, Elsevier, vol. 414(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:495:y:2025:i:c:s0096300325000591. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.