Title :
An Improved Result on Stability of Cellular Neural Networks with Time-Varying Delay
Author :
Hu, Yanxia ; Ma, Na
Author_Institution :
Sch. of Math. & Phys., North China Electr. Power Univ., Beijing, China
Abstract :
In a recent paper written by Yu et al., a sufficient condition on the existence of unique equilibrium point and its global asymptotic stability for delayed cellular neural networks (DCNNs) is proposed. In this note, we point out some errors in the paper and an improved result on global asymptotic stability of DCNNs is established in terms of linear matrix inequality. Furthermore, the new result concerning global asymptotic delay-dependent stability of DCNNs can guarantee exponential asymptotic stability of the system.
Keywords :
asymptotic stability; cellular neural nets; delays; linear matrix inequalities; time-varying systems; cellular neural networks stability; delayed cellular neural networks; global asymptotic stability; linear matrix inequality; time-varying delay; Asymptotic stability; Cellular neural networks; Computer networks; Delay effects; Delay lines; Linear matrix inequalities; Mathematics; Physics computing; Sufficient conditions; Cellular neural networks; Delay; Linear matrix inequality;
Conference_Titel :
Natural Computation, 2009. ICNC '09. Fifth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3736-8
DOI :
10.1109/ICNC.2009.74