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Global Stability and Synchronization of Markovian Switching Neural Networks with Stochastic Perturbation and Impulsive Delay

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Abstract

This paper focuses on the hybrid effects of Markovian switching, stochastic perturbation, and impulsive delay on neural networks. First, some novel generic criteria for Markovian switching neural networks with stochastic perturbation and impulsive delay are derived by establishing an extended Halanay differential inequality on impulsive dynamical systems. Second, our sufficient conditions ensuring synchronization are dependent on coupling and impulsive delay, and show coupling and impulsive effects on the synchronization of neural networks. Finally, simulation results demonstrate the effectiveness of the theoretical results.

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Acknowledgments

This publication was made possible by NPRP grant no. NPRP 4-1162-1-181 from the Qatar National Research Fund (a member of the Qatar Foundation). The statements made herein are solely the responsibility of the authors. This work was also supported by the Natural Science Foundation of China (grant nos. 61374078 and 61403313).

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Authors and Affiliations

  1. College of Computer Science, Chongqing University, Chongqing, 400044, People’s Republic of China

    Wei Zhang, Chuandong Li & Jiangtao Qi

  2. Texas A&M University at Qatar, Doha, 5825, Qatar

    Tingwen Huang

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  1. Wei Zhang
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  2. Chuandong Li
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  3. Tingwen Huang
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  4. Jiangtao Qi
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Correspondence to Chuandong Li.

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Zhang, W., Li, C., Huang, T. et al. Global Stability and Synchronization of Markovian Switching Neural Networks with Stochastic Perturbation and Impulsive Delay. Circuits Syst Signal Process 34, 2457–2474 (2015). https://doi.org/10.1007/s00034-014-9924-0

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  • DOI: https://doi.org/10.1007/s00034-014-9924-0

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