DocumentCode
3421586
Title
Asymptotical stability criteria for Cohen-Grossberg neural networks with time-varying delay
Author
Zhao Xiaoping
Author_Institution
Sch. of Software, Jiangxi Univ. of Finance & Econ., Nanchang, China
fYear
2009
fDate
17-19 Aug. 2009
Firstpage
791
Lastpage
794
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Granular Computing, 2009, GRC '09. IEEE International Conference on
Conference_Location
Nanchang
Print_ISBN
978-1-4244-4830-2
Type
conf
DOI
10.1109/GRC.2009.5255015
Filename
5255015
Link To Document