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New delay-dependent conditions for finite-time extended dissipativity based non-fragile feedback control for neural networks with mixed interval time-varying delays

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  • Zamart, Chantapish
  • Botmart, Thongchai
  • Weera, Wajaree
  • Charoensin, Suphachai

Abstract

This paper studies the delay-dependent conditions for finite-time extended dissipativity based non-fragile feedback control for neural networks with mixed interval time-varying delays. By applying Jensen’s inequality, an extended Jensen’s double integral inequality, and a free matrix form inequality to the Lyapunov–Krasovskii functional (LKF), delay-dependent conditions are derived and solved by the Matlab control toolbox in terms of linear matrix inequalities (LMIs). By stability criteria, this paper is less conservative than the other works. In addition, we demonstrate the advantage of our obtained methods by five numerical examples. One practical example shows a real-world approach: the quadruple-tank process system (QTPS).

Suggested Citation

  • Zamart, Chantapish & Botmart, Thongchai & Weera, Wajaree & Charoensin, Suphachai, 2022. "New delay-dependent conditions for finite-time extended dissipativity based non-fragile feedback control for neural networks with mixed interval time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 684-713.
    • Handle: RePEc:eee:matcom:v:201:y:2022:i:c:p:684-713
    DOI: 10.1016/j.matcom.2021.07.007
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    References listed on IDEAS

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    1. Hui Gao & Jianwei Xia & Guangming Zhuang & Zhen Wang & Qun Sun, 2017. "Nonfragile Finite-Time Extended Dissipative Control for a Class of Uncertain Switched Neutral Systems," Complexity, Hindawi, vol. 2017, pages 1-22, November.
    2. Rajavel, S. & Samidurai, R. & Cao, Jinde & Alsaedi, Ahmed & Ahmad, Bashir, 2017. "Finite-time non-fragile passivity control for neural networks with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 297(C), pages 145-158.
    3. Vimal Kumar, S. & Raja, R. & Marshal Anthoni, S. & Cao, Jinde & Tu, Zhengwen, 2018. "Robust finite-time non-fragile sampled-data control for T-S fuzzy flexible spacecraft model with stochastic actuator faults," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 483-497.
    4. Jun-kang Tian & Yan-min Liu, 2015. "Improved Delay-Dependent Stability Analysis for Neural Networks with Interval Time-Varying Delays," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-10, September.
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    Cited by:

    1. Can Zhao & Jinde Cao & Kaibo Shi & Yiqian Tang & Shouming Zhong & Fawaz E. Alsaadi, 2022. "Improved Nonfragile Sampled-Data Event-Triggered Control for the Exponential Synchronization of Delayed Complex Dynamical Networks," Mathematics, MDPI, vol. 10(19), pages 1-24, September.
    2. Arunagirinathan, S. & Lee, T.H., 2024. "Generalized delay-dependent reciprocally convex inequality on stability for neural networks with time-varying delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 109-120.

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