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Existence and exponential stability of periodic solution of delayed Cohen–Grossberg neural networks via impulsive control

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Abstract

This paper focuses on the existence, uniqueness and global exponential stability of periodic solution for Cohen–Grossberg neural networks (CGNN) with periodic coefficients and time-varying delays. Some novel delay-independent criteria are obtained by using contraction mapping theorem and comparison principle. The present results improve and extend those in many publications, and shows that under some delay-independent criteria, the CGNNs may admit a periodic solution, which is globally exponential stable via impulsive controller even if it is originally unstable or divergent. Two examples with numerical simulations are given to demonstrate the efficiency of 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 Qatar Foundation). The statements made herein are solely the responsibility of the authors. This work was also supported by Natural Science Foundation of China (Grant No: 61374078).

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Authors and Affiliations

  1. College of Computer Science, Chongqing University, Chongqing, 400044, China

    Jiangtao Qi & Chuandong Li

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

    Tingwen Huang

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

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Qi, J., Li, C. & Huang, T. Existence and exponential stability of periodic solution of delayed Cohen–Grossberg neural networks via impulsive control. Neural Comput & Applic 26, 1369–1377 (2015). https://doi.org/10.1007/s00521-014-1793-8

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  • DOI: https://doi.org/10.1007/s00521-014-1793-8

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