Asymptotical stability of multi-delayed cellular neural networks with impulsive effects

作者：Li, Dong^*; Yang, Dan; Wang, Hui; Zhang, Xiaohong; Wang, Shilong

来源：Physica A: Statistical Mechanics and Its Applications , 2009, 388(2-3): 218-224.

DOI：10.1016/j.physa.2008.09.025

• Cellular neural networks
• Multi-delays
• Stability
• Linear matrix inequality
• Lyapunov-Krasovskii functional
• Parameterized first-order model transformation

In this work, the stability issues of the equilibrium points of multi-delayed cellular neural networks with impulsive effects are investigated. Based on the method of linear matrix inequality (LMI) and parameterized first-order model transformation, several new delay-dependent and delay-independent asymptotical stability conditions are derived by the stability theory of Lyapunov-Krasovskii. A numerical example is given to illustrate the effectiveness of our results.

• 出版日期2009-1-15
• 单位重庆大学; 乐山师范学院