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Dynamic event-triggered H∞ control for T-S fuzzy switched complex-valued networks under average dwell-time constraint: A non-separation approach

Author

Listed:
  • Li, Qiang
  • Wei, Hanqing
  • Abdurahman, Abdujelil
  • Yao, Yangang
  • Zheng, Yuanshi

Abstract

This article investigates the H∞ control issue of Takagi–Sugeno fuzzy switched complex-valued networks (CVNs) with time-varying delay and average dwell-time (ADT) mechanism. To significantly decrease the communication load on the network and save the scarce communication resources, an available aperiodic event-triggered control scheme with dynamic threshold is put forward, where the triggering threshold can be dynamically updated through a differential renewal rule. Besides, this scheme can significantly avoid Zeno behavior. Meanwhile, it can also prevent the case where there is no signal transmission for a long time. On this basis, a novel fuzzy controller is designed. Moreover, a more complicated Lyapunov function is established to involve available information about ADT switching signal, time-varying delay, triggering interval and dynamic triggering threshold. In addition, by feat of Lyapunov stability theory, some complex matrix inequality methods and ADT technique, some sufficient and less conservative results are addressed to insure the involved CVN realizes H∞ stability with an external disturbance performance index. In addition, the available controller gains can be established as by calculating obtained complex matrix inequalities. Ultimately, one numerical example accompanied by simulations is put forward to verify the correctness and feasibility of the designed fuzzy controller.

Suggested Citation

  • Li, Qiang & Wei, Hanqing & Abdurahman, Abdujelil & Yao, Yangang & Zheng, Yuanshi, 2025. "Dynamic event-triggered H∞ control for T-S fuzzy switched complex-valued networks under average dwell-time constraint: A non-separation approach," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p3:s0960077925008653
    DOI: 10.1016/j.chaos.2025.116852
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    References listed on IDEAS

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    1. Xiaofeng Chen & Qiankun Song & Yurong Liu & Zhenjiang Zhao, 2014. "Global μ -Stability of Impulsive Complex-Valued Neural Networks with Leakage Delay and Mixed Delays," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-14, May.
    2. Gu, Yang & Shao, Yiyu & Li, Liwei & Shen, Mouquan, 2024. "Event-triggered fault tolerant control for Markov jump systems via a proportional–integral intermediate estimator," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    3. Wu, Kai & Tang, Ming & Liu, Zonghua & Ren, Han & Zhao, Liang, 2024. "Pinning synchronization of multiple fractional-order fuzzy complex-valued delayed spatiotemporal neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    4. Zhen Wang & Lianglin Xiong & Haiyang Zhang & Yingying Liu & Rui Wang, 2021. "Sampling-Based Event-Triggered Control for Neutral-Type Complex-Valued Neural Networks with Partly Unknown Markov Jump and Time-Varying Delay," Complexity, Hindawi, vol. 2021, pages 1-21, May.
    5. Li, Qiang & Liang, Jinling & Gong, Weiqiang & Wang, Kai & Wang, Jinling, 2024. "Nonfragile state estimation for semi-Markovian switching CVNs with general uncertain transition rates: An event-triggered scheme," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 204-222.
    6. Xiaofeng Chen & Qiankun Song & Yurong Liu & Zhenjiang Zhao, 2014. "Global μ‐Stability of Impulsive Complex‐Valued Neural Networks with Leakage Delay and Mixed Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
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