Title :
Robust stability criteria for neural Cohen-Grossberg networks with both time-varying delay and parametric uncertainties
Author :
Bian, Tao ; Wang, Yan-Wu ; Xiao, Jiang-Wen
Author_Institution :
Dept. of Control Sci. & Technol., Huazhong Univ. of Sci. & Technol., Wuhan, China
Abstract :
In this paper, a stability analysis of a Cohen-Grossberg neural network (CGNN) with both time-varying delays and parametric uncertainties is given by employing Lyapunov-Krasovskii functional, delay partitioning method and free matrix approach. A sufficient condition is derived to ensure the stability of the uncertain CGNN with time-delay. It is noticeable that the theorem derived in this paper does not require the derivative of time-delay, which makes the result more general compared with former works. Besides, the lower bound of time-delay is also considered in this paper, which may lead to a less conservative result.
Keywords :
Lyapunov methods; delays; matrix algebra; neural nets; robust control; Lyapunov-Krasovskii function; delay partitioning method; free matrix approach; neural Cohen-Grossberg networks; parametric uncertainty; robust stability criteria; time-varying delay; Asymptotic stability; Delay; Linear matrix inequalities; Neural networks; Robust stability; Stability analysis; Uncertainty;
Conference_Titel :
Intelligent Control and Information Processing (ICICIP), 2011 2nd International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4577-0813-8
DOI :
10.1109/ICICIP.2011.6008316