Improved asymptotic stability criteria for neural networks with interval time-varying delay
作者： Junkang Tian , Xiangbing Zhou
DOI: 10.1016/J.ESWA.2010.04.093
关键词: Lyapunov functional 、 Matrix method 、 Interval delay 、 Stability (learning theory) 、 Exponential stability 、 Control theory 、 Mathematics 、 Interval (mathematics) 、 Artificial neural network
摘要: The problem of delay-dependent asymptotic stability criteria for neural networks (NNs) with time-varying interval delay is investigated. A new class Lyapunov functional constructed to derive some novel criteria. obtained criterion less conservative because free-weighting matrix method and the technique dealing integral terms are considered. Finally, a numerical example given demonstrate effectiveness proposed method.
acm.org
elsevier.com
sci-hub.se 参考文章(25)
Cheng-De Zheng, Lai-Bing Lu, Zhan-Shan Wang, New LMT-based delay-dependent criterion for global asymptotic stability of cellular neural networks Neurocomputing. ,vol. 72, pp. 3331- 3336 ,(2009) , 10.1016/J.NEUCOM.2009.01.013
Sabri Arik, Global asymptotic stability of hybrid bidirectional associative memory neural networks with time delays Physics Letters A. ,vol. 351, pp. 85- 91 ,(2006) , 10.1016/J.PHYSLETA.2005.10.059
Hongyong Zhao, Jinde Cao, New conditions for global exponential stability of cellular neural networks with delays Neural Networks. ,vol. 18, pp. 1332- 1340 ,(2005) , 10.1016/J.NEUNET.2004.11.010
Sannay Mohamad, None, Global exponential stability in DCNNs with distributed delays and unbounded activations Journal of Computational and Applied Mathematics. ,vol. 205, pp. 161- 173 ,(2007) , 10.1016/J.CAM.2006.04.059
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
Zhanshan Wang, Huaguang Zhang, Wen Yu, Robust exponential stability analysis of neural networks with multiple time delays Neurocomputing. ,vol. 70, pp. 2534- 2543 ,(2007) , 10.1016/J.NEUCOM.2006.07.014
Chuandong Li, Xiaofeng Liao, New algebraic conditions for global exponential stability of delayed recurrent neural networks Neurocomputing. ,vol. 64, pp. 319- 333 ,(2005) , 10.1016/J.NEUCOM.2004.10.104
Qiankun Song, Zhenjiang Zhao, Yongmin Li, Global exponential stability of BAM neural networks with distributed delays and reaction–diffusion terms Physics Letters A. ,vol. 335, pp. 213- 225 ,(2005) , 10.1016/J.PHYSLETA.2004.12.007
Y.K. Hahn, E. Zerrad, Quantum hypervirial theorems Physics Letters A. ,vol. 359, pp. 494- 498 ,(2006) , 10.1016/J.PHYSLETA.2006.06.087
Shengyuan Xu, James Lam, A new approach to exponential stability analysis of neural networks with time-varying delays Neural Networks. ,vol. 19, pp. 76- 83 ,(2006) , 10.1016/J.NEUNET.2005.05.005