Title :
Asymptotical stability criteria for Cohen-Grossberg neural networks with time-varying delay
Author_Institution :
Sch. of Software, Jiangxi Univ. of Finance & Econ., Nanchang, China
Abstract :
The global stability of Cohen-Grossberg neural networks with time-varying delay is investigated and a delay-dependent stability criterion is obtained in terms of LMI by choosing a novel Lyapunov-Krasovskii functional, introducing the equivalent descriptor form of addressed systems and employing some free-weighting matrices. The derivative of the time-varying delay has an upper limitation but not necessarily more than 1 and the activation functions are of more general descriptions, which generalize those present results. One numerical example illustrates that the obtained method is an improvement over the earlier ones.
Keywords :
asymptotic stability; delays; linear matrix inequalities; neural nets; transfer functions; Cohen-Grossberg neural network; LMI; Lyapunov-Krasovskii functional; activation function; asymptotic stability criteria; delay-dependent stability criterion; equivalent descriptor form; free-weighting matrix; global stability; time-varying delay; Asymptotic stability; Cellular neural networks; Delay effects; Delay lines; Finance; Linear matrix inequalities; Neural networks; Stability criteria; Time varying systems; Upper bound; Cohen-Grossberg neural networks; Lyapunov-Krasovskii functional; asymptotical stability; linear matrices inequality; time-varying delay;
Conference_Titel :
Granular Computing, 2009, GRC '09. IEEE International Conference on
Conference_Location :
Nanchang
Print_ISBN :
978-1-4244-4830-2
DOI :
10.1109/GRC.2009.5255015