Stability analysis of Markovian jumping impulsive stochastic delayed RDCGNNs with partially known transition probabilities

Advances in Difference Equations

Weiyuan Zhang¹ 

[1] Institute of Nonlinear Science, Xianyang Normal University, Xianyang, P.R. China

关键词: impulsive;    stochastic reaction-diffusion neural networks;    asymptotical stability;    Markovian jump;    mixed time delays;   

DOI  :  10.1186/s13662-015-0386-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper considers the robust stability for a class of Markovian jump impulsive stochastic delayed reaction-diffusion Cohen-Grossberg neural networks with partially known transition probabilities. Based on the Lyapunov stability theory and linear matrix inequality (LMI) techniques, some robust stability conditions guaranteeing the global robust stability of the equilibrium point in the mean square sense are derived. To reduce the conservatism of the stability conditions, improved Lyapunov-Krasovskii functional and free-connection weighting matrices are introduced. An example shows the proposed theoretical result is feasible and effective.

【 授权许可】

CC BY