Exponential stability of cellular neural networks with multiple time delays and impulsive effects
Dong Li, Wang Hui, Dan Yang, Zhang Xiao-Hong, Shilong Wang · Chinese Physics B · 2008
In this work, the stability issues of the equilibrium points of the cellular neural networks with multiple time delays and impulsive effects are investigated. Based on the stability theory of Lyapunov–Krasovskii, the method of linear matrix inequality (LMI) and parametrized first-order model transformation, several novel conditions guaranteeing the delay-dependent and the delay-independent exponential stabilities are obtained. A numerical example is given to illustrate the effectiveness of our results.