Title :
Exponential Stability Criterion for Cohen-Grossberg Neural Networks with Time-varying Delay
Author :
Tao, Li ; Shumin, Fei
Author_Institution :
Southeast Univ., Nanjing
Abstract :
In this paper, the global exponential stability is investigated for the Cohen-Grossberg neural networks with time-varying delay. By using the appropriate Lyapunov-Krasovskii functional and equivalent descriptor form of the considered system, an LMI-based delay-dependent sufficient condition is obtained to guarantee the exponential stability of the addressed neural networks, which can be checked readily by resorting to the Matlab LMI toolbox. A numerical example is given to show the effectiveness and less conservatism of the obtained methods.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neural nets; time-varying systems; Cohen-Grossberg neural network; Lyapunov-Krasovskii functional; Matlab LMI toolbox; delay-dependent condition; exponential stability; time-varying delay; Automation; Delay systems; Electronic mail; MATLAB; Neural networks; Stability criteria; Sufficient conditions; Yttrium; Cohen-Grossberg neural networks; Exponential stability; LMI; descriptor system; time-delay;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4347316