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Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties
Yuanshun Tan1, Sanyi Tang2, Jin Yang1
1College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074 China.
Abstract:
The present study considers the robust stability for impulsive complex-valued neural networks (CVNNs) with discrete time delays. By applying the homeomorphic mapping theorem and some inequalities in a complex domain, some sufficient conditions are obtained to prove the existence and uniqueness of the equilibrium for the CVNNs. By constructing appropriate Lyapunov-Krasovskii functionals and employing the complex-valued matrix inequality skills, the study finds the conditions to guarantee its global robust stability. A numerical simulation illustrates the correctness of the proposed theoretical results.
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