Title :
Novel global asymptotic stability criteria for delayed cellular neural networks
Author :
Xu, Shengyuan ; Lam, James ; Ho, Daniel W C ; Zou, Yun
Author_Institution :
Dept. of Autom., Nanjing Univ. of Sci. & Technol., China
fDate :
6/1/2005 12:00:00 AM
Abstract :
This brief provides improved conditions for the existence of a unique equilibrium point and its global asymptotic stability of cellular neural networks with time delay. Both delay-dependent and delay-independent conditions are obtained by using more general Lyapunov-Krasovskii functionals. These conditions are expressed in terms of linear matrix inequalities, which can be checked easily by recently developed standard algorithms. Examples are provided to demonstrate the reduced conservatism of the proposed criteria by numerically comparing with those reported recently in the literature.
Keywords :
asymptotic stability; cellular neural nets; delay systems; linear matrix inequalities; Lyapunov-Krasovskii functionals; delay dependent conditions; delay independent conditions; delayed cellular neural networks; global asymptotic stability criteria; linear matrix inequalities; time delay systems; Asymptotic stability; Cellular neural networks; Delay effects; Image processing; Linear matrix inequalities; Neural networks; Pattern recognition; Stability analysis; Standards development; Sufficient conditions; Cellular neural networks (CNNs); global asymptotic stability; linear matrix inequality (LMI); time-delay systems;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2005.849000