Journal of Systems Engineering and Electronics ›› 2007, Vol. 18 ›› Issue (1): 68-71.

• SYSTEMS ENGINEERING • Previous Articles     Next Articles

Exponential stability for cellular neural networks: an LMI approach

Liu Deyou, Zhang Jianhua & Guan Xinping   

  1. Coll. of Science, Yanshan Univ., Qinhuangdao 066004, P. R. China
  • Online:2007-03-26 Published:2010-01-03

Abstract:

A new sufficient conditions for the global exponential stability of the equilibrium point for delayed cellular neural networks (DCNNs) is presented. It is shown that the use of a more general type of Lyapunov–Krasovskii function enables the derivation of new results for an exponential stability of the equilibrium point for DCNNs. The results establish a relation between the delay time and the parameters of the network. The results are also compared with one of the most recent results derived in the literature.