Delay-dependent robust stability analysis of uncertain stochastic neural networks with discrete interval and distributed time-varying delays
作者： P. Balasubramaniam , R. Rakkiyappan
DOI: 10.1016/J.NEUCOM.2009.02.007
关键词:
摘要: This paper is concerned with stability analysis problem for uncertain stochastic neural networks discrete interval and distributed time-varying delays. The parameter uncertainties are assumed to be norm bounded the delay belong a given interval, which means that lower upper bounds of delays available. Based on new Lyapunov-Krasovskii functional theory, delay-interval dependent criteria obtained in terms linear matrix inequalities. Some numerical examples comparisons provided show proposed results significantly improve allowable over some existing literature. Furthermore, supplementary requirement time derivative must smaller than value one not necessary derive this paper.
elsevier.com
sci-hub.se 参考文章(27)
A. Cochocki, Rolf Unbehauen, Neural networks for optimization and signal processing ,(1993)
Zidong Wang, Stanislao Lauria, Xiaohui Liu, None, Exponential stability of uncertain stochastic neural networks with mixed time-delays Chaos, Solitons & Fractals. ,vol. 32, pp. 62- 72 ,(2007) , 10.1016/J.CHAOS.2005.10.061
Zidong Wang, Yurong Liu, Karl Fraser, Xiaohui Liu, Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays Physics Letters A. ,vol. 354, pp. 288- 297 ,(2006) , 10.1016/J.PHYSLETA.2006.01.061
Yi-You Hou, Teh-Lu Liao, Chang-Hua Lien, Jun-Juh Yan, Stability analysis of neural networks with interval time-varying delays Chaos: An Interdisciplinary Journal of Nonlinear Science. ,vol. 17, pp. 033120- ,(2007) , 10.1063/1.2771082
Hongyi Li, Bing Chen, Qi Zhou, Shengle Fang, Robust exponential stability for uncertain stochastic neural networks with discrete and distributed time-varying delays Physics Letters A. ,vol. 372, pp. 3385- 3394 ,(2008) , 10.1016/J.PHYSLETA.2008.01.060
Chuandong Li, Gang Feng, Delay-interval-dependent stability of recurrent neural networks with time-varying delay Neurocomputing. ,vol. 72, pp. 1179- 1183 ,(2009) , 10.1016/J.NEUCOM.2008.02.011
Li Wan, Jianhua Sun, Mean square exponential stability of stochastic delayed Hopfield neural networks Physics Letters A. ,vol. 343, pp. 306- 318 ,(2005) , 10.1016/J.PHYSLETA.2005.06.024
Yurong Liu, Zidong Wang, Xiaohui Liu, On global exponential stability of generalized stochastic neural networks with mixed time-delays Neurocomputing. ,vol. 70, pp. 314- 326 ,(2006) , 10.1016/J.NEUCOM.2006.01.031
Wu-Hua Chen, Xiaomei Lu, Mean square exponential stability of uncertain stochastic delayed neural networks Physics Letters A. ,vol. 372, pp. 1061- 1069 ,(2008) , 10.1016/J.PHYSLETA.2007.09.009
He Huang, Gang Feng, Delay-dependent stability for uncertain stochastic neural networks with time-varying delay Physica A-statistical Mechanics and Its Applications. ,vol. 381, pp. 93- 103 ,(2007) , 10.1016/J.PHYSA.2007.04.020