Improved approaches to stability criteria for neural networks with time-varying delays
作者： O.M. Kwon , M.J. Park , Ju H. Park , S.M. Lee , E.J. Cha
DOI: 10.1016/J.JFRANKLIN.2013.06.014
关键词: Exponential stability 、 Linear matrix 、 Lyapunov functional 、 Mathematics 、 Control theory 、 Stability (learning theory) 、 Artificial neural network
摘要: Abstract In this paper, the problem of stability analysis for neural networks with time-varying delays is considered. By use a newly augmented Lyapunov functional and some novel techniques, sufficient conditions to guarantee asymptotic concerned are established in terms linear matrix inequalities (LMIs). Three numerical examples given show improved region proposed works.
sci-hub.se 参考文章(40)
S.H. Kim, C. Jeong, P. Park, Robust Η/ spl alpha/ stabilisation of networked control systems with packet analyser [Brief Paper] Iet Control Theory and Applications. ,vol. 4, pp. 1828- 1837 ,(2010) , 10.1049/IET-CTA.2009.0346
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
Baoyong Zhang, Shengyuan Xu, Yun Zou, Improved delay-dependent exponential stability criteria for discrete-time recurrent neural networks with time-varying delays Neurocomputing. ,vol. 72, pp. 321- 330 ,(2008) , 10.1016/J.NEUCOM.2008.01.006
O.M. Kwon, Ju H. Park, S.M. Lee, E.J. Cha, Analysis on delay-dependent stability for neural networks with time-varying delays Neurocomputing. ,vol. 103, pp. 114- 120 ,(2013) , 10.1016/J.NEUCOM.2012.09.012
Tao Li, Wei Xing Zheng, Chong Lin, Delay-Slope-Dependent Stability Results of Recurrent Neural Networks IEEE Transactions on Neural Networks. ,vol. 22, pp. 2138- 2143 ,(2011) , 10.1109/TNN.2011.2169425
Tao Li, Lei Guo, Lingyao Wu, Changyin Sun, Delay-dependent robust stability criteria for delay neural networks with linear fractional uncertainties International Journal of Control, Automation and Systems. ,vol. 7, pp. 281- 287 ,(2009) , 10.1007/S12555-009-0214-8
Keqin Gu, A further refinement of discretized Lyapunov functional method for the stability of time-delay systems International Journal of Control. ,vol. 74, pp. 967- 976 ,(2001) , 10.1080/00207170110047190
Ozlem Faydasicok, Sabri Arik, Further analysis of global robust stability of neural networks with multiple time delays Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 349, pp. 813- 825 ,(2012) , 10.1016/J.JFRANKLIN.2011.11.007
Yijun Zhang, Dong Yue, Engang Tian, New stability criteria of neural networks with interval time-varying delay: A piecewise delay method Applied Mathematics and Computation. ,vol. 208, pp. 249- 259 ,(2009) , 10.1016/J.AMC.2008.11.046
O.M. Kwon, S.M. Lee, J.H. Park, On robust stability for uncertain neural networks with interval time-varying delays Iet Control Theory and Applications. ,vol. 2, pp. 625- 634 ,(2008) , 10.1049/IET-CTA:20070325