Title :
A study of exponential stability for stochastic delayed neural networks
Author :
Chen, Wu-Hua ; Zheng, Wei Xing
Author_Institution :
Coll. of Math. & Inf. Sci., Guangxi Univ., Nanning, China
fDate :
May 30 2010-June 2 2010
Abstract :
This paper is concerned with analyzing mean square exponential stability of stochastic delayed neural networks subject to parametric uncertainties. The discretized Lyapunov functional technique is first utilized to construct a new Lyapunov functional in order to effectively deal with the time-varying delay. Then the free-weighting matrix technique and the convex combination method are used to establish a new delay-dependent mean square exponential stability criterion for uncertain stochastic delayed neural networks. The usefulness of the new theoretical findings is further demonstrated by numerical results.
Keywords :
Lyapunov matrix equations; asymptotic stability; convex programming; delays; neural nets; stochastic systems; uncertain systems; convex combination method; delay dependent mean square exponential stability criterion; discretized Lyapunov functional technique; free weighting matrix technique; mean square exponential stability; parametric uncertainties; time varying delay; uncertain stochastic delayed neural networks; Australia; Delay effects; Mathematics; Neural networks; Neurotransmitters; Robust stability; Stability analysis; Stability criteria; Stochastic processes; Uncertainty;
Conference_Titel :
Circuits and Systems (ISCAS), Proceedings of 2010 IEEE International Symposium on
Conference_Location :
Paris
Print_ISBN :
978-1-4244-5308-5
Electronic_ISBN :
978-1-4244-5309-2
DOI :
10.1109/ISCAS.2010.5537098