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Stability Analysis of Stochastic Markovian Jump Neural Networks with Different Time Scales and Randomly Occurred Nonlinearities Based on Delay‐Partitioning Projection Approach

Author

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  • Jianmin Duan
  • Manfeng Hu
  • Yongqing Yang
  • Liuxiao Guo

Abstract

In this paper, the mean square asymptotic stability of stochastic Markovian jump neural networks with different time scales and randomly occurred nonlinearities is investigated. In terms of linear matrix inequality (LMI) approach and delay‐partitioning projection technique, delay‐dependent stability criteria are derived for the considered neural networks for cases with or without the information of the delay rates via new Lyapunov‐Krasovskii functionals. We also obtain that the thinner the delay is partitioned, the more obviously the conservatism can be reduced. An example with simulation results is given to show the effectiveness of the proposed approach.

Suggested Citation

  • Jianmin Duan & Manfeng Hu & Yongqing Yang & Liuxiao Guo, 2013. "Stability Analysis of Stochastic Markovian Jump Neural Networks with Different Time Scales and Randomly Occurred Nonlinearities Based on Delay‐Partitioning Projection Approach," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:212469
    DOI: 10.1155/2013/212469
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    References listed on IDEAS

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    1. Qi Luo & Xinjie Miao & Qian Wei & Zhengxin Zhou, 2013. "Stability of Impulsive Neural Networks with Time‐Varying and Distributed Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Qi Luo & Xinjie Miao & Qian Wei & Zhengxin Zhou, 2013. "Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, May.
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    4. Zeynep Orman & Sabri Arik, 2013. "An Analysis of Stability of a Class of Neutral-Type Neural Networks with Discrete Time Delays," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, June.
    5. Cao, Jinde & Wang, Zidong & Sun, Yonghui, 2007. "Synchronization in an array of linearly stochastically coupled networks with time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 718-728.
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