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Finite-time dissipative control for discrete-time memristive neural networks via interval matrix method

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  • Yang, Jinrong
  • Chen, Guici
  • Wen, Shiping
  • Wang, Leimin

Abstract

This paper addresses the problems of finite-time dissipative analysis and control for discrete-time memristive neural networks (DMNNs). With the help of interval matrix method (IMM), the challenges posed by the mismatched state-dependent parameters of DMNNs can be solved, which is different from the maximal absolute value operation-based method (MAVOM) in most existing literature. Based on a discrete-time Lyapunov-Krasovskii functional (LKF) and some inequality techniques, several sufficient conditions are established for achieving both finite-time bounded (FTB) behavior and finite-time (Q,S,R)−γ dissipative (FTD). Moreover, the control gains are obtained by solving a series of linear matrix inequalities (LMIs) and convex optimization problems. Finally, the validity of our main findings and the superiority of the control strategies are verified through numerical simulations.

Suggested Citation

  • Yang, Jinrong & Chen, Guici & Wen, Shiping & Wang, Leimin, 2023. "Finite-time dissipative control for discrete-time memristive neural networks via interval matrix method," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923010639
    DOI: 10.1016/j.chaos.2023.114161
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    References listed on IDEAS

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    1. Xue, Yu & Tu, Kairong & Liu, Chunyan & Zhang, Xian, 2024. "Non-fragile extended dissipative synchronization control for uncertain discrete-time neural networks with leakage and unbounded time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).

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