New LMI conditions for global exponential stability of cellular neural networks with delays

作者：Chen Ling; Zhao Hongyong^*

来源：Nonlinear Analysis: Real World Applications , 2009, 10(1): 287-297.

DOI：10.1016/j.nonrwa.2007.09.011

• equilibrium point
• global exponential stability
• linear matrix inequality

In this paper, we investigate further cellular neural networks model with delays. We allow the model to have nondifferentiable and unbounded signal function, and use linear matrix inequality (LMI) framework and Homeomorphism theorem to prove the existence and uniqueness of the equilibrium, and derive some new sufficient condition ensuring global exponential stability of the networks. Two examples with their numerical Simulations are provided to show the correctness of our analysis. It is believed that these results are significant and useful for the design and applications of cellular neural networks.

• 出版日期2009-2
• 单位金陵科技学院; 南京航空航天大学