Exponential stability on stochastic neural networks with discrete interval and distributed delays.
This brief addresses the stability analysis problem for stochastic neural networks (SNNs) with discrete interval and distributed time-varying delays. The interval time-varying delay is assumed to satisfy 0 < d(1) <or= d(t) <or= d(2) and is described as d(t) = d(1)+h(t) with 0 <or= h(t) <or= d(2)-d(1). Based on the idea of partitioning the lower bound d(1), new delay-dependent stability criteria are presented by constructing a novel Lyapunov-Krasovskii functional, which can guarantee the new stability conditions to be less conservative than those in the literature. The obtained results are formulated in the form of linear matrix inequalities (LMIs). Numerical examples are provided to illustrate the effectiveness and less conservatism of the developed results.
Yang
Rongni
R
Space Control and Inertial Technology Research Center, Department of Control Science and Engineering, Harbin Institute of Technology, Harbin 150001, China. yangrongni621@gmail.com
Zhang
Zexu
Z
Shi
Peng
P
D003198:Computer Simulation; D006801:Humans; D016247:Information Storage and Retrieval; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D013269:Stochastic Processes; D013997:Time Factors