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Synchronization Analysis of Coupled Stochastic Neural Networks with On–Off Coupling and Time-Delay

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Abstract

In this paper, synchronization problem of coupled neural networks with stochastic disturbances and time-delay is analyzed. For the system under study, each subsystem interacts with others in an on–off way which can be employed to deal with communication congestion in signals transmission. By stochastic analysis techniques, sufficient conditions that guarantee mean square synchronization of the coupled system are established. Moreover, the underlying network needs not be undirected or strongly connected. Finally, some numerical simulations are given to verify the usefulness and effectiveness of our results.

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Acknowledgments

The authors gratefully acknowledge anonymous referees’ comments and patient work. This work is supported by the National Science Foundation of China under Grant No. 11271146 and the Key Program of National Natural Science Foundation of China under Grant No. 61134012 and the Key Program of Wuhan under Grant No. 2013010501010117.

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Authors and Affiliations

  1. School of Automation, Huazhong University of Science and Technology, Wuhan, 430074, China

    Guan Wang, Yi Shen & Quan Yin

  2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, 430074, China

    Guan Wang, Yi Shen & Quan Yin

Authors
  1. Guan Wang
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  2. Yi Shen
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  3. Quan Yin
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Correspondence to Yi Shen.

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Wang, G., Shen, Y. & Yin, Q. Synchronization Analysis of Coupled Stochastic Neural Networks with On–Off Coupling and Time-Delay. Neural Process Lett 42, 501–515 (2015). https://doi.org/10.1007/s11063-014-9369-2

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  • DOI: https://doi.org/10.1007/s11063-014-9369-2

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