Globally exponential stability of stochastic neutral-type delayed neural networks with impulsive perturbations and Markovian switching
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The problem of globally exponential stability of stochastic neutral-type delayed neural networks with impulsive perturbations and Markovian switching is studied in this paper. By using the Lyapunov–Krasovskii method and the stochastic analysis approach, a sufficient condition to ensure globally exponential stability for the stochastic neutral-type delayed neural networks with impulsive perturbations and Markovian switching is derived. Finally, a numerical example is given to illustrate the effectiveness of the result proposed in this paper.
KeywordsNeutral-type networks Impulsive perturbations Markovian switching Exponential stability Time delays
We would like to thank the referees and the editor for their valuable comments and suggestions, which have led to a better presentation of this paper. This work is supported by the National Natural Science Foundation of China (61075060), the Innovation Program of Shanghai Municipal Education Commission (12zz064), the open project of State Key Laboratory of Industrial Control Technology, and the Fundamental Research Funds for the Central Universities.
- 13.Zhang, W., Tang, Y., Fang, J., Zhu, W.: Exponential cluster synchronization of impulsive delayed genetic oscillators with external disturbances. Chaos 21, 37–43 (2011) Google Scholar
- 20.Gu, K.: An integral inequality in the stability problem of time-delay systems. In: Proceedings of the 39th IEEE Conference on Decision and Control, vol. 3, pp. 2805–2810 (2000) Google Scholar