Robust stability results for uncertain stochastic neural networks with discrete interval and distributed time-varying delays
作者： R. Rakkiyappan , P. Balasubramaniam , S. Lakshmanan
DOI: 10.1016/J.PHYSLETA.2008.06.011
关键词: Stability result 、 Linear matrix 、 Applied mathematics 、 Linear matrix inequality 、 Bounded function 、 Stochastic neural network 、 Norm (mathematics) 、 Stochastic stability 、 Physics
摘要: Abstract This Letter 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 Lyapunov–Krasovskii functional theory, delay-interval dependent criteria obtained in terms linear matrix inequalities. Some formulated by feasibility inequality (LMI) introducing some free-weighting matrices. Finally, two numerical examples provided demonstrate less conservatism effectiveness proposed LMI conditions.
core.ac.uk
harvard.edu
elsevier.com
sci-hub.se 参考文章(34)
Xiefu Jiang, Qing-Long Han, On H∞ control for linear systems with interval time-varying delay Automatica. ,vol. 41, pp. 2099- 2106 ,(2005) , 10.1016/J.AUTOMATICA.2005.06.012
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
Dong Yue, Qing-Long Han, James Lam, Network-based robust H∞ control of systems with uncertainty Automatica. ,vol. 41, pp. 999- 1007 ,(2005) , 10.1016/J.AUTOMATICA.2004.12.011
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
Changchun Hua, Chengnian Long, Xinping Guan, New results on stability analysis of neural networks with time-varying delays Physics Letters A. ,vol. 352, pp. 335- 340 ,(2006) , 10.1016/J.PHYSLETA.2005.12.005
Engang Tian, Chen Peng, Delay-dependent stability analysis and synthesis of uncertain T--S fuzzy systems with time-varying delay Fuzzy Sets and Systems. ,vol. 157, pp. 544- 559 ,(2006) , 10.1016/J.FSS.2005.06.022
Zidong Wang, Huisheng Shu, Yurong Liu, Daniel W.C. Ho, Xiaohui Liu, Robust stability analysis of generalized neural networks with discrete and distributed time delays Chaos, Solitons & Fractals. ,vol. 30, pp. 886- 896 ,(2006) , 10.1016/J.CHAOS.2005.08.166
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
Hongyong Zhao, Guanglan Wang, Delay-independent exponential stability of recurrent neural networks Physics Letters A. ,vol. 333, pp. 399- 407 ,(2004) , 10.1016/J.PHYSLETA.2004.10.040
Qiang Zhang, Xiaopeng Wei Jin Xu, Delay-dependent global stability results for delayed Hopfield neural networks Chaos, Solitons & Fractals. ,vol. 34, pp. 662- 668 ,(2007) , 10.1016/J.CHAOS.2006.03.073