FIXED POINTS AND EXPONENTIAL STABILITY FOR UNCERTAIN STOCHASTIC NEURAL NETWORKS WITH MULTIPLE MIXED TIME-DELAYS

CHENGJUN GUO; DONAL O’REGAN; FEIQI DENG; RAVI P.AGARWAL

Title	FIXED POINTS AND EXPONENTIAL STABILITY FOR UNCERTAIN STOCHASTIC NEURAL NETWORKS WITH MULTIPLE MIXED TIME-DELAYS
Publication Type	Journal Article
Year of Publication	2015
Authors	GUO, CHENGJUN, O’REGAN, DONAL, DENG, FEIQI, P.AGARWAL, RAVI
Volume	19
Issue	2
Start Page	191
Pagination	17
Date Published	2015
ISSN	1083-2564
AMS	34K50, 60H10, 93Dxx
Abstract	In this paper we study the stability of a stochastic neural networks with parameter uncertainties and multiple time delays $${ dx \ \ = [−(A + △A(t))x(t) + (B + △B(t))f(t, x(t), x(t − τ_1(t)), . . . , x(t − τ_m(t)))}$$ $${ + \sum^{k}_{p=1} (W_p + △W_p(t)) \int^t_{t−r_p(t)} g_p(x(s))ds]dt + \sum^l_{j=1} h_j (t, x(t), x(t − σ_j (t)))dw(t).}$$ Using fixed point theory and a linear matrix inequality(LMI), we obtain new criteria for exponential stability in mean square of the considered uncertain stochastic neural networks with multiple mixed time-delays.
URL	http://www.acadsol.eu/en/articles/19/2/3.pdf
Refereed Designation	Refereed
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