Improved Stability Criteria for Neural Networks with Two Additive Time-Varying Delays
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Improved Stability Criteria for Neural Networks with Two Additive Time-Varying Delays

Authors: Miaomiao Yang, Shouming Zhong

Abstract:

This paper studies the problem of stability criteria for neural networks with two additive time-varying delays.A new Lyapunov-Krasovskii function is constructed and some new delay dependent stability criterias are derived in the terms of linear matrix inequalities(LMI), zero equalities and reciprocally convex approach.The several stability criterion proposed in this paper is simpler and effective. Finally,numerical examples are provided to demonstrate the feasibility and effectiveness of our results.

Keywords: Stability, Neural networks, Linear Matrix Inequalities (LMI) , Lyapunov function, Time-varying delays

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1091650

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References:


[1] A.Liu,L.Yu,W.Zhang,H Ncontrol for network-based systems with time varying delay and packet disordering, Journal of the Franklin Institute 348(2011) 917-932.
[2] J. Dai, A delay system approach to networked control systems with limited communication capacity, Journal of the Franklin Institute 347(2010) 1334-1352.
[3] E.Tian,D.Yue,Y.Zhang,On improved delay-dependent robust H Ncontrol for systems with interval time-varying delay, Journal of the Franklin Institute 348 (2011) 555-567.
[4] H.Shao, Delay-dependent stability for recurrent neural networks with time-varying delays,IEEE Transactions on Neural Networks 19(2008)1647-1651.
[5] J.Lam,H.Gao,C.Wang,Stability analysis for continuous systems with two additive time-varying delay components,Systems Control Letters 56(2007)16-24.
[6] Sun.J, Liu. G, Chen. J, Rees. D, Improved delay-range-dependent stability criteria for linear systems with time-varying delays.Automatica 2010;46(2):466-70.
[7] Tian. J, Zhong. S. Improved delay-dependent stability criteria for neural networks with two additive time-varying delay components. Neurocomputing 2012; 77:114-9.
[8] Park P, Ko J, Jeong C. Reciprocally convex approach to stability of systems with time-varying delays.Automatica 2011;47(1):235-8.
[9] Gao H, Chen T, Lam J. A new delay system approach to network-based control. Automatica 2008;44(1):39-52.
[10] K.Gu,An integral inequality in the stability problem of time delay systems,in: Proceedings of 39th IEEE Conference Decision Control, 2000, pp. 2805-2810.
[11] Chen J, Zhu H, Zhong S M. Improved delay-dependent stability criteria for continuous system with two additive time-varying delay components. Commun Nonlinear Sci Numer Simulat 19(2014)210-215.
[12] Wu M,He Y,She J,Liu G. Delay-dependent criteria for robust stability of time-varying delay systems.Automatica 2004;40(8):1435-9.
[13] He Y,Wang Q,Xie L,Lin C.Further improvement of free-weighting matrices technique for systems with time-varying delay.IEEE Trans Automat Control 2007;52(2):293-9.
[14] Lam J,Gao H,Wang C.Stability analysis for continuous systems with two additive time-varying delay components.Syst Control Lett 2007;56(1):16-24.
[15] Gao H,Chen T,Lam J.A new delay system approach to network-based control.Automatica 2008;44(1):39-52.
[16] Dey R,Ray G,Ghosh S,Rakshit A.Stability analysis for continuous system with additive time-varying delays: a less conservative result. Appl.Math.Comput. 2010;215:3740-5.