Exponential Stability of Uncertain Stochastic Neural Networks with Markovian Switching

作者:Song Zhu, Yi Shen, Lei Liu

摘要

This paper is concerned with the exponential stability analysis problem for a class of uncertain stochastic neural networks with Markovian switching. The parameter uncertainties are assumed to be norm bounded. Based on Lyapunov–Krasovskii stability theory and the nonnegative semimartingale convergence theorem, delay-dependent and delay- independent sufficient stability conditions are established. It is also shown that the result in this paper cover some recently published works. Two examples are provided to demonstrate the usefulness of the proposed criteria.

论文关键词:Stochastic neural networks, Hybrid systems, Linear matrix inequality, Exponential stability, Semimartingale convergence theorem

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论文官网地址:https://doi.org/10.1007/s11063-010-9158-5