Title :
Robust Stability of Uncertain Cellular Neural Networks with Time-Varying Delays
Author :
Su, Lianqing ; Gao, Zhifeng ; Qiu, Jiqing ; Shi, Peng
Author_Institution :
Hebei Univ. of Sci. & Technol., Shijiazhuang
fDate :
July 30 2007-Aug. 1 2007
Abstract :
In this paper, we investigate the problem of global robust asymptotical stability of cellular neural networks with time-varying delays and parameter uncertainties. The parameter uncertainties are assumed to be bounded, the activation functions are supposed to be bounded and globally Lipschitz continuous. Based on the Lyapunov-Krasovskii functional approach, a new delay-dependent stability criteria is presented in terms of linear matrix inequalities (LMIs). The stability criteria can be easily checked by using recently developed algorithms in solving LMIs. Finally, a numerical example is given to illustrate the effectiveness and less conservativeness of our proposed method.
Keywords :
Lyapunov methods; asymptotic stability; cellular neural nets; delay systems; linear matrix inequalities; neurocontrollers; robust control; time-varying systems; uncertain systems; Lyapunov-Krasovskii functional approach; activation functions; delay-dependent stability criteria; global robust asymptotical stability; globally Lipschitz continuous; linear matrix inequalities; parameter uncertainties; robust stability; time-varying delay; uncertain cellular neural network; Artificial neural networks; Asymptotic stability; Cellular neural networks; Delay effects; Linear matrix inequalities; Neural networks; Robust stability; Software engineering; Stability criteria; Uncertain systems;
Conference_Titel :
Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2007. SNPD 2007. Eighth ACIS International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-0-7695-2909-7
DOI :
10.1109/SNPD.2007.326