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Improved Stability Analysis for Neural Networks with Time-Varying Delay

Author

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  • Yongming Li
  • Junkang Tian
  • Jinzhou Zhao
  • Liehui Zhang
  • Tiejun Li

Abstract

This paper concerned the problem of delay-dependent asymptotic stability for neural networks with time-varying delay. A new class of Lyapunov functional dividing the interval delay is constructed to derive some new delay-dependent stability criteria. The obtained criteria are less conservative because free-weighting matrices method, a convex optimization approach, and a mixed dividing delay interval approach are considered. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Yongming Li & Junkang Tian & Jinzhou Zhao & Liehui Zhang & Tiejun Li, 2012. "Improved Stability Analysis for Neural Networks with Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-19, June.
    • Handle: RePEc:hin:jnlmpe:950269
    DOI: 10.1155/2012/950269
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    Cited by:

    1. Chao Liu & Xiaoyang Liu, 2022. "Stability of Switched Systems with Time-Varying Delays under State-Dependent Switching," Mathematics, MDPI, vol. 10(15), pages 1-13, August.
    2. Yang, Xinrong & Sun, Qilong & Li, Haitao & Kong, Xiangshan, 2023. "Set stabilizability of impulsive probabilistic Boolean networks via impulsive sequence design," Applied Mathematics and Computation, Elsevier, vol. 449(C).

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