Robust exponential stability for interval neural networks with delays and non-Lipschitz activation functions |
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Authors: | Huaiqin Wu Feng Tao Leijie Qin Rui Shi Lijun He |
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Affiliation: | 1.Department of Applied Mathematics,Yanshan University,Qinhuangdao,China |
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Abstract: | ![]() In this paper, the global robust exponential stability of interval neural networks with delays and inverse Hölder neuron activation functions is considered. By using linear matrix inequality (LMI) techniques and Brouwer degree properties, the existence and uniqueness of the equilibrium point are proved. By applying Lyapunov functional approach, a sufficient condition which ensures that the network is globally robustly exponentially stable is established. A numerical example is provided to demonstrate the validity of the theoretical results. |
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