A semi-free weighting matrices approach for neutral-type delayed neural networks
作者： Huanhuan Mai , Xiaofeng Liao , Chuandong Li
DOI: 10.1016/J.CAM.2008.06.016
关键词: Constant (mathematics) 、 Mathematics 、 Artificial neural network 、 Applied mathematics 、 Numerical stability 、 Mathematical optimization 、 Exponential stability 、 Stability (learning theory) 、 Computation 、 Weighting 、 Variable (computer science)
摘要: In this paper, a new approach is proposed for stability issues of neutral-type neural networks (DNNs) with constant delay. First, the semi-free weighting matrices are and used instead known free to express relationship between terms in Leibniz-Newton formula simplify system synthesis obtain less computation demand. Second, global exponential conditions which conservative restrictive than results derived. At same time, based on above approach, fewer variable introduced construction Lyapunov functional augmented functional. Two examples given show their effectiveness advantages over others.
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sci-hub.se 参考文章(30)
Jie Chen, Vladimir Kharitonov, Kequin Gu, Stability of Time-Delay Systems ,(2003)
Zhiqiang Zuo, Yijing Wang, Novel Delay-Dependent Exponential Stability Analysis for a Class of Delayed Neural Networks Lecture Notes in Computer Science. pp. 216- 226 ,(2006) , 10.1007/11816157_21
Silviu-Iulian Niculescu, Delay Effects on Stability: A Robust Control Approach ,(2001)
E. Fridman, U. Shaked, A descriptor system approach to H/sub ∞/ control of linear time-delay systems IEEE Transactions on Automatic Control. ,vol. 47, pp. 253- 270 ,(2002) , 10.1109/9.983353
Weili Ran, Junfei Qiao, Xudong Ye, Soft-measuring approach to on-line predict BOD based on PCA time-delay neural network world congress on intelligent control and automation. ,vol. 4, pp. 3483- 3487 ,(2004) , 10.1109/WCICA.2004.1343193
Keqin Gu, A generalized discretization scheme of Lyapunov functional in the stability problem of linear uncertain time-delay systems International Journal of Robust and Nonlinear Control. ,vol. 9, pp. 1- 14 ,(1999) , 10.1002/(SICI)1099-1239(199901)9:1<1::AID-RNC382>3.0.CO;2-S
R. K. Brayton, Small-signal stability criterion for electrical networks containing lossless transmission lines Ibm Journal of Research and Development. ,vol. 12, pp. 431- 440 ,(1968) , 10.1147/RD.126.0431
Keqin Gu, S.-I. Niculescu, Further remarks on additional dynamics in various model transformations of linear delay systems IEEE Transactions on Automatic Control. ,vol. 46, pp. 497- 500 ,(2001) , 10.1109/9.911431
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
S. Boyd, Linear Matrix Inequalities in Systems and Control Theory SIAM, Philadelphia, PA, 1994. ,(1994)