Abstract:
By using the usual additive neural-network model, a delay-independent stability criterion for neural dynamics with perturbations of time-varying delays is derived. We ext...Show MoreMetadata
Abstract:
By using the usual additive neural-network model, a delay-independent stability criterion for neural dynamics with perturbations of time-varying delays is derived. We extend previously known results obtained by Gopalsamy and He (1994) to the time varying delay case, and present decay estimates of solutions of neural networks. The asymptotic stability is global in the state space of neuronal activations. From the techniques used in this paper, it is shown that our criterion ensures stability of neural dynamics even when the delay functions vary violently with time. Our approach provides an effective method for the stability analysis of neural dynamics with delays.
Published in: IEEE Transactions on Neural Networks ( Volume: 9, Issue: 1, January 1998)
DOI: 10.1109/72.655044
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Cites in Papers - IEEE (23)
Select All
1.
Bin Hu, Zhi-Hong Guan, Tong-Hui Qian, Guanrong Chen, "Dynamic Analysis of Hybrid Impulsive Delayed Neural Networks With Uncertainties", IEEE Transactions on Neural Networks and Learning Systems, vol.29, no.9, pp.4370-4384, 2018.
2.
Yan-Wu Wang, Wu Yang, Jiang-Wen Xiao, Zhi-Gang Zeng, "Impulsive Multisynchronization of Coupled Multistable Neural Networks With Time-Varying Delay", IEEE Transactions on Neural Networks and Learning Systems, vol.28, no.7, pp.1560-1571, 2017.
3.
Zhihui Yang, Zhaohui Wen, "Easy verifiable sufficient conditions for existence and exponential stability of periodic solution for delay cellular neural networks", 2010 IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), pp.722-726, 2010.
4.
Jin-fang Han, Ji-qing Qiu, Hui-ran Jia, Xiang-ting Meng, "Robust stability for stochastic interval Hopfield neural networks with time delays", 2010 Sixth International Conference on Natural Computation, vol.2, pp.801-805, 2010.
5.
Kaiyu Liu, Ya Li, "Global Exponential Stability of Delayed Cohen-Grossberg Neural Networks: A New Approach via Halanay Inequality and Bellman Inequality", 2008 Fourth International Conference on Natural Computation, vol.2, pp.404-408, 2008.
6.
Qiu Fang, Cui Baotong, "New sufficient conditions for global asymptotic stability of delayed Cohen-Grossberg neural networks", 2008 27th Chinese Control Conference, pp.48-52, 2008.
7.
Gui-Ju Shi, Ji-Qing Qiu, Jing-Chen, Hai-Kuo He, Guo-Gang Li, "New stochastic stability criteria of Hopfield neural networks with Markovian jump parameters", 2008 International Conference on Machine Learning and Cybernetics, vol.2, pp.811-814, 2008.
8.
Huaguang Zhang, Zhanshan Wang, Derong Liu, "Global Asymptotic Stability of Recurrent Neural Networks With Multiple Time-Varying Delays", IEEE Transactions on Neural Networks, vol.19, no.5, pp.855-873, 2008.
9.
Wei Wu, Bao Tong Cui, "Improved Sufficient Conditions for Global Asymptotic Stability of Delayed Neural Networks", IEEE Transactions on Circuits and Systems II: Express Briefs, vol.54, no.7, pp.626-630, 2007.
10.
Huanxin Guan, Huaguang Zhang, Zhanshan Wang, Derong Liu, "Global Asymptotic Stability of Recurrent Neural Networks with Time Varying Delays", 2007 IEEE International Symposium on Circuits and Systems (ISCAS), pp.1005-1008, 2007.
11.
Haijun Jiang, Jinde Cao, "Global Asymptotic Stability of Recurrent Neiural Networks with Time-Varying Delays", 2005 International Conference on Neural Networks and Brain, vol.1, pp.160-164, 2005.
12.
Kun Yuan, Jinde Cao, "An analysis of global asymptotic stability of delayed Cohen-Grossberg neural networks via nonsmooth analysis", IEEE Transactions on Circuits and Systems I: Regular Papers, vol.52, no.9, pp.1854-1861, 2005.
13.
Jinde Cao, Jun Wang, "Global exponential stability and periodicity of recurrent neural networks with time delays", IEEE Transactions on Circuits and Systems I: Regular Papers, vol.52, no.5, pp.920-931, 2005.
14.
He Huang, D.W.C. Ho, J. Lam, "Stochastic stability analysis of fuzzy hopfield neural networks with time-varying delays", IEEE Transactions on Circuits and Systems II: Express Briefs, vol.52, no.5, pp.251-255, 2005.
15.
Zhigang Zeng, Jun Wang, Xiaoxin Liao, "Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays", IEEE Transactions on Circuits and Systems II: Express Briefs, vol.52, no.3, pp.168-173, 2005.
16.
Jinde Cao, Jun Wang, "Global asymptotic and robust stability of recurrent neural networks with time delays", IEEE Transactions on Circuits and Systems I: Regular Papers, vol.52, no.2, pp.417-426, 2005.
17.
Houduo Qi, Liqun Qi, "Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis", IEEE Transactions on Neural Networks, vol.15, no.1, pp.99-109, 2004.
18.
Chunhua Feng, R. Plamondon, "Stability analysis of bidirectional associative memory networks with time delays", IEEE Transactions on Neural Networks, vol.14, no.6, pp.1560-1565, 2003.
19.
Zhigang Zeng, Jun Wang, Xiaoxin Liao, "Global exponential stability of a general class of recurrent neural networks with time-varying delays", IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.50, no.10, pp.1353-1358, 2003.
20.
Changyin Sun, Derong Liu, Chun-Bo Feng, "New results on exponential periodicity of delayed neural networks", Proceedings of the International Joint Conference on Neural Networks, 2003., vol.2, pp.902-907 vol.2, 2003.
21.
J. Cao, Jun Wang, "Global asymptotic stability of a general class of recurrent neural networks with time-varying delays", IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.50, no.1, pp.34-44, 2003.
22.
M. Galibova, M. Hadjiski, "Impact of NNs accuracy on FB/FF pH neutralization control system performance", Proceedings First International IEEE Symposium Intelligent Systems, vol.3, pp.36-41 vol.3, 2002.
23.
Chunhai Hou, Jixin Qian, "Positively invariant set of RFDE with applications to linear systems with time-varying input delays", Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), vol.6, pp.3728-3729 vol.6, 1998.
Cites in Papers - Other Publishers (63)
1.
Rakkiyappan Rajan, Velmurugan Gandhi, Premalatha Soundharajan, Young Hoon Joo, "Almost periodic dynamics of memristive inertial neural networks with mixed delays", Information Sciences, vol.536, pp.332, 2020.
2.
Yebin Chen, Zhi Zhang, Yajuan Liu, Jianping Zhou, Zhen Wang, "Resilient input-to-state stable filter design for nonlinear time-delay systems", Communications in Nonlinear Science and Numerical Simulation, vol.89, pp.105335, 2020.
3.
Zhi-Hong Guan, Bin Hu, Xuemin Shen, "Delayed Hybrid Impulsive Neural Networks", Introduction to Hybrid Intelligent Networks, pp.27, 2019.
4.
Zhi-Hong Guan, Bin Hu, Xuemin (Sherman) Shen, "Hybrid Impulsive Neural Networks with Interval-Uncertain Weights", Introduction to Hybrid Intelligent Networks, pp.59, 2019.
5.
Dongshu Wang, Lihong Huang, Longkun Tang, Jinsen Zhuang, "Generalized pinning synchronization of delayed Cohen?Grossberg neural networks with discontinuous activations", Neural Networks, vol.104, pp.80, 2018.
6.
Swati Tyagi, Syed Abbas, Rajendra K. Ray, "Stability and Bifurcation Analysis of Cellular Neural Networks with Discrete and Distributed Delays", Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2017.
7.
G. Rajchakit, R. Saravanakumar, Choon Ki Ahn, Hamid Reza Karimi, "Improved exponential convergence result for generalized neural networks including interval time-varying delayed signals", Neural Networks, vol.86, pp.10, 2017.
8.
Zuowei Cai, Lihong Huang, Lingling Zhang, "New exponential synchronization criteria for time-varying delayed neural networks with discontinuous activations", Neural Networks, vol.65, pp.105, 2015.
9.
Dongshu Wang, Lihong Huang, "Almost periodic dynamical behaviors for generalized Cohen?Grossberg neural networks with discontinuous activations via differential inclusions", Communications in Nonlinear Science and Numerical Simulation, vol.19, no.10, pp.3857, 2014.
10.
Zuowei Cai, Lihong Huang, "Functional differential inclusions and dynamic behaviors for memristor-based BAM neural networks with time-varying delays", Communications in Nonlinear Science and Numerical Simulation, vol.19, no.5, pp.1279, 2014.
11.
Dongshu Wang, Lihong Huang, "Periodicity and global exponential stability of generalized Cohen?Grossberg neural networks with discontinuous activations and mixed delays", Neural Networks, vol.51, pp.80, 2014.
12.
Lihong Huang, Zuowei Cai, Lingling Zhang, Lian Duan, "Dynamical behaviors for discontinuous and delayed neural networks in the framework of Filippov differential inclusions", Neural Networks, vol.48, pp.180, 2013.
13.
Cheng-De Zheng, Chao-Ke Gong, Zhanshan Wang, "Stability criteria for Cohen?Grossberg neural networks with mixed delays and inverse Lipschitz neuron activations", Journal of the Franklin Institute, vol.349, no.9, pp.2903, 2012.
14.
Bingji Xu, Yuan Xu, Linman He, "LMI-based stability analysis of impulsive high-order Hopfield-type neural networks", Mathematics and Computers in Simulation, vol.86, pp.67, 2012.
15.
Zuowei Cai, Lihong Huang, Zhenyuan Guo, Xiaoyan Chen, "On the periodic dynamics of a class of time-varying delayed neural networks via differential inclusions", Neural Networks, vol.33, pp.97, 2012.
16.
Lijun Pan, Jinde Cao, "Robust stability for uncertain stochastic neural network with delay and impulses", Neurocomputing, vol.94, pp.102, 2012.
17.
Kaiyu Liu, Hongqiang Zhang, "An improved global exponential stability criterion for delayed neural networks", Nonlinear Analysis: Real World Applications, vol.10, no.4, pp.2613, 2009.
18.
Fang Qiu, Baotong Cui, "Estimates of equilibrium points and global asymptotic stability of Cohen?Grossberg neural networks with delays", International Journal of Systems Science, vol.40, no.12, pp.1319, 2009.
19.
Zhan Shu, James Lam, "Global exponential estimates of stochastic interval neural networks with discrete and distributed delays", Neurocomputing, vol.71, no.13-15, pp.2950, 2008.
20.
Jinhui Zhang, Peng Shi, Jiqing Qiu, Hongjiu Yang, "A new criterion for exponential stability of uncertain stochastic neural networks with mixed delays", Mathematical and Computer Modelling, vol.47, no.9-10, pp.1042, 2008.
21.
Zhihui Yang, "Global existence and exponential stability of periodic solutions for recurrent neural networks with functional delay", Mathematical Methods in the Applied Sciences, vol.30, no.14, pp.1775, 2007.
22.
Baoyong Zhang, Shengyuan Xu, Yongmin Li, Yuming Chu, "On global exponential stability of high-order neural networks with time-varying delays", Physics Letters A, vol.366, no.1-2, pp.69, 2007.
23.
Poulami Das Gupta, N.C. Majee, A.B. Roy, "Stability, bifurcation and global existence of a Hopf-bifurcating periodic solution for a class of three-neuron delayed network models", Nonlinear Analysis: Theory, Methods & Applications, vol.67, no.10, pp.2934, 2007.
24.
Jinhui Zhang, Peng Shi, Jiqing Qiu, "Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays", Nonlinear Analysis: Real World Applications, vol.8, no.4, pp.1349, 2007.
25.
Zhanji Gui, Weigao Ge, Xiao-Song Yang, "Periodic oscillation for a Hopfield neural networks with neutral delays", Physics Letters A, vol.364, no.3-4, pp.267, 2007.
26.
Huaguang Zhang, Gang Wang, "New criteria of global exponential stability for a class of generalized neural networks with time-varying delays", Neurocomputing, vol.70, no.13-15, pp.2486, 2007.
27.
Xuyang Lou, Baotong Cui, "Delay-dependent stochastic stability of delayed Hopfield neural networks with Markovian jump parameters", Journal of Mathematical Analysis and Applications, vol.328, no.1, pp.316, 2007.
28.
Zhan Shu, James Lam, Neural Information Processing, vol.4232, pp.332, 2006.
29.
Wu-Hua Chen, Xiaomei Lu, "New delay-dependent exponential stability criteria for neural networks with variable delays", Physics Letters A, vol.351, no.1-2, pp.53, 2006.
30.
Li Wu, "Influence of noise and delay on reaction-diffusion recurrent neural networks", Analysis in Theory and Applications, vol.22, no.3, pp.283, 2006.
