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Fixed-time intermittent control of a class of chaotic systems via a single controller

Author

Listed:
  • Han, Luxia
  • Luo, Runzi
  • Zhang, Panpan
  • Liu, Xianzhou

Abstract

In this paper, an intermittent fixed-time control strategy based on sliding model control method is proposed. Some novel fixed-time theorems that extend corresponding recent important results are provided. In order to deal with the problem caused by the external disturbances, a new even function which has the properties of sign function is introduced. Combining the presented new even function with the novel fixed-time theorems, a single controller is designed via the intermittent control approach. A practical simulation example is utilized to show the validity of the proposed theoretical results.

Suggested Citation

  • Han, Luxia & Luo, Runzi & Zhang, Panpan & Liu, Xianzhou, 2026. "Fixed-time intermittent control of a class of chaotic systems via a single controller," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 239(C), pages 282-297.
    • Handle: RePEc:eee:matcom:v:239:y:2026:i:c:p:282-297
    DOI: 10.1016/j.matcom.2025.05.015
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    References listed on IDEAS

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    1. Guo, Beibei & Xiao, Yu, 2023. "Intermittent synchronization for multi-link and multi-delayed large-scale systems with semi-Markov jump and its application of Chua’s circuits," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Luo, Runzi & Song, Zijun & Liu, Shuai, 2023. "Fixed-time observed synchronization of chaotic system with all state variables unavailable in some periods," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    3. Chu, Xiaoan & Li, Muguo, 2019. "Observer-based model following sliding mode tracking control of discrete-time linear networked systems with two-channel event-triggered schemes and quantizations," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 428-448.
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