Robust Stochastic Stability Analysis for Uncertain Neutral-Type Delayed Neural Networks Driven by Wiener Process
作者： Weiwei Zhang , Linshan Wang
DOI: 10.1155/2012/829594
关键词:
摘要: The robust stochastic stability for a class of uncertain neutral-type delayed neural networks driven by Wiener process is investigated. By utilizing the Lyapunov-Krasovskii functional and inequality technique, some sufficient criteria are presented in terms linear matrix (LMI) to ensure system. A numerical example given illustrate applicability result.
hindawi.com参考文章(26)
K. Gu, An integral inequality in the stability problem of time-delay systems conference on decision and control. ,vol. 3, pp. 2805- 2810 ,(2000) , 10.1109/CDC.2000.914233
Quanxin Zhu, Jinde Cao, Stability analysis for stochastic neural networks of neutral type with both Markovian jump parameters and mixed time delays Neurocomputing. ,vol. 73, pp. 2671- 2680 ,(2010) , 10.1016/J.NEUCOM.2010.05.002
R. Samidurai, S. Marshal Anthoni, K. Balachandran, Global exponential stability of neutral-type impulsive neural networks with discrete and distributed delays Nonlinear Analysis: Hybrid Systems. ,vol. 4, pp. 103- 112 ,(2010) , 10.1016/J.NAHS.2009.08.004
Ruojun Zhang, Linshan Wang, Global exponential robust stability of interval cellular neural networks with S-type distributed delays Mathematical and Computer Modelling. ,vol. 50, pp. 380- 385 ,(2009) , 10.1016/J.MCM.2009.04.016
Linshan Wang, Zhe Zhang, Yangfan Wang, Stochastic exponential stability of the delayed reaction–diffusion recurrent neural networks with Markovian jumping parameters Physics Letters A. ,vol. 372, pp. 3201- 3209 ,(2008) , 10.1016/J.PHYSLETA.2007.07.090
R. Rakkiyappan, P. Balasubramaniam, Letters: New global exponential stability results for neutral type neural networks with distributed time delays Neurocomputing. ,vol. 71, pp. 1039- 1045 ,(2008) , 10.1016/J.NEUCOM.2007.11.002
R. Rakkiyappan, P. Balasubramaniam, LMI conditions for global asymptotic stability results for neutral-type neural networks with distributed time delays Applied Mathematics and Computation. ,vol. 204, pp. 317- 324 ,(2008) , 10.1016/J.AMC.2008.06.049
Shengyuan Xu, James Lam, Daniel W.C. Ho, Yun Zou, Delay-dependent exponential stability for a class of neural networks with time delays Journal of Computational and Applied Mathematics. ,vol. 183, pp. 16- 28 ,(2005) , 10.1016/J.CAM.2004.12.025
Ju H. Park, O.M. Kwon, S.M. Lee, LMI optimization approach on stability for delayed neural networks of neutral-type Applied Mathematics and Computation. ,vol. 196, pp. 236- 244 ,(2008) , 10.1016/J.AMC.2007.05.047
Huaguang Zhang, Meng Dong, Yingchun Wang, Ning Sun, Stochastic stability analysis of neutral-type impulsive neural networks with mixed time-varying delays and Markovian jumping Neurocomputing. ,vol. 73, pp. 2689- 2695 ,(2010) , 10.1016/J.NEUCOM.2010.04.016