New Stability Analysis for Neural Networks with Time-Varying Delays

This paper studies the problem of asymptotically
stability for neural networks with time-varying delays.By establishing
a suitable Lyapunov-Krasovskii function and several novel sufficient
conditions are obtained to guarantee the asymptotically stability of the considered system. Finally,two numerical examples are given to illustrate the effectiveness of the proposed main results.





References:
[1] S.Arik Daly,An analysis of exponential stability of delayed neural
networks with time-varying delays. Neural Networks.17(2004)
[2] H.J.Cho,J.H.Park,Novel delay-dependent robust stability criterion of
delayed cellular neural networks,Chaos Solitons Fractals 32(5)(2007)
1194-1200.
[3] H.Gu, H.Jiang, Z.Teng,Existence and global exponential stability of
equilibrium of competitive neural networks with different time-scales
and multiple delays, J.Franklin Inst. 347(2010)719-731.
[4] Y.He,M.Wu,J.H.She,Delay-dependent exponential stability of delayed
neural networks with time-varyingdelays, IEEE Trans. Circuits Syst.II
Exp.Briefs 53 (7)(2006)553-557.
[5] Y.He, G.P.Liu, D.Rees, New delay-dependent stability criteria for
neutral networks with time-varying delays, IEEE Trans. Neural
Netw.18(1)(2007)310-314.
[6] Z.Zuo,C.Yang,Y Wang,A new method for stability analysis of recurrent
neural networks with interval time-varying delay,IEEE Trans.Neural
Networks 21(2)(2010)339-344.
[7] K.Gu,An integral inequality in the stability problem of time delay
systems,in: Proceedings of 39th IEEE Conference Decision Control,
(2000) 2805-2810.
[8] P.Park, J.W.Ko, C.Jeong,Reciprocally convex approach to stability of
systems with time-varying delays,Automatica 47(1)(2011)235-238.
[9] Y.H.D, S.M.Zhong, Exponential passivity of BAM neural networks
with time-varying delays. Applied Mathematics and Computation
221(2013)727-740.
[10] S.Mou, H.Gao, W.Qiang, K.Chen,New delay-dependent exponential
stability for neural networks with time delays,IEEE Transactions on
Systems, Man,and Cybernetics B 38 (2008)571-576.
[11] Zixin L,J. Y,D. Y. X,Triple-integral method for the stability analysis of
delayed neural networks ,Neurocomputing 99(2013) 283-289.
[12] K.Gu,An integral inequality in the stability problem of time delay
systems,in: Proceedings of 39th IEEE Conference Decision Control,
(2000) 2805-2810.
[13] Miaomiao Yang,S M Zhong,Improved Exponential Stability Analysis
for Delayed Recurrent Neural Networks,World Academy of Science,
Engineering and Technology International Journal of Mathematical,
Computational Science and Engineering Vol:8 No:1, (2014)90-96.
[14] O.M. Kwon, S.M. Lee, JuH. Park, E.J. Cha, New approaches on stability
criteria for neural networks with interval time-varying delays, Appl.
Math. Comput.218 (19) (2012) 9953-9964
[15] H.Y. Shao, Q.L. Han, New delay-dependent stability criteria for neural
networks with two additive time-varying delay components, IEEE Trans.
Neural Networks 22 (5) (2011) 812-818.
[16] T Li,X Yang,P Yang,New delay-variation-dependent stability for neural
networks with time-varying delay,Neurocomputing 101 (2013) 361-369.
[17] C.C.Hua, C.N.Long, X.P.Guang,New results on stability analysis of
neural networks with time-varying delays, Phys. Lett. A 352(2006)335-
340.
[18] O.M.Kwon,J.H.Park,Improved delay-dependent stability criterion for
neural networks with time-varying delays,Phys.Lett.A 373(2009)529-
535.
[19] J.Sun, G.P.Liu, J.Chen, D.Ree,Networked predictive control for neural
networks with time-varying interval delays,Phys.Lett.A 373(2009)342-
348.
[20] Z.X.Liu,J.Y,D.Y.Xu,Triple-integral method for the stability analysis of
delayed neural networks,Neurocomputing 99 (2013)283-289.