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State Estimation for Standard Neural Network Models with Time‐Varying Delays

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  • Jin Zhu
  • Tai-Fang Li
  • Huanqing Wang

Abstract

The paper deals with the issue of state estimation for standard neural network models with time‐varying delays. A new augmented vector with the derivative of the state is introduced in the Lyapunov–Krasovskii functional. The state estimation criteria are obtained by constructing the suitable Lyapunov–Krasovskii functional; meanwhile, the observer gain and the controller gain are derived in terms of linear matrix inequality. The free matrix‐based integral inequality is utilized to handle the integral terms, and the zero equation is added to the derivative of the Lyapunov–Krasovskii functional, which decreases the conservatism. The effectiveness and feasibility of the proposed methods are demonstrated by two numerical examples.

Suggested Citation

  • Jin Zhu & Tai-Fang Li & Huanqing Wang, 2022. "State Estimation for Standard Neural Network Models with Time‐Varying Delays," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:4618101
    DOI: 10.1155/2022/4618101
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    References listed on IDEAS

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    1. Kefa Zou & Xuechen Li & Nan Wang & Jungang Lou & Jianquan Lu, 2020. "Stability and Stabilization of Delayed Neural Networks with Hybrid Impulses," Complexity, Hindawi, vol. 2020, pages 1-9, November.
    2. Cai, Xiao & Zhong, Shouming & Wang, Jun & Shi, Kaibo, 2020. "New stability results for delayed neural networks with data packet dropouts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    3. Wang, Chen-Rui & He, Yong & Lin, Wen-Juan, 2021. "Stability analysis of generalized neural networks with fast-varying delay via a relaxed negative-determination quadratic function method," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    4. Zhanying Yang & Jie Zhang, 2019. "Stability Analysis of Fractional-Order Bidirectional Associative Memory Neural Networks with Mixed Time-Varying Delays," Complexity, Hindawi, vol. 2019, pages 1-22, October.
    5. Bing Li & Yongkun Li, 2019. "Existence and Global Exponential Stability of Almost Automorphic Solution for Clifford-Valued High-Order Hopfield Neural Networks with Leakage Delays," Complexity, Hindawi, vol. 2019, pages 1-13, July.
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