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Robust Stability Analysis for Interval Cohen–Grossberg Neural Networks With Unknown Time-Varying Delays

Huaguang Zhang, Zhanshan Wang, Derong Liu
2008 IEEE Transactions on Neural Networks  
stability of the equilibrium point of interval Cohen-Grossberg neural networks with time-varying delays.  ...  In this paper, robust stability problems for interval Cohen-Grossberg neural networks with unknown time-varying delays are investigated.  ...  CONCLUSION New global robust stability criteria are established for the interval Cohen-Grossberg neural networks with time-varying delays.  ... 
doi:10.1109/tnn.2008.2006337 pmid:18990645 fatcat:amo4a7x5bzfynpqhzdo5d5rwxi

Robust Adaptive Control of Unknown Modified Cohen–Grossberg Neural Networks With Delays

Wenwu Yu, Jinde Cao, Guanrong Chen
2007 IEEE transactions on circuits and systems - 2, Analog and digital signal processing  
In this brief, robust adaptive control of unknown modified Cohen-Grossberg neural networks with time delays is considered based on nonsmooth analysis and matrix inequality technique.  ...  One does not need to know the bounds of the unknown parameters, but only needs to know the structures of the modified Cohen-Grossberg neural networks with time delays.  ...  One does not need to know the bounds of the unknown parameters, but only needs to know the structures of the modified Cohen-Grossberg neural networks with time delays.  ... 
doi:10.1109/tcsii.2007.894427 fatcat:jmhukmvcu5hz3fsgw4so7tqrva

Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays

Zidong Wang, Yurong Liu, Maozhen Li, Xiaohui Liu
2006 IEEE Transactions on Neural Networks  
In this letter, the global asymptotic stability analysis problem is considered for a class of stochastic Cohen-Grossberg neural networks with mixed time delays, which consist of both the discrete and distributed  ...  It is shown that the addressed stochastic Cohen-Grossberg neural networks with mixed delays are globally asymptotically stable in the mean square if two LMIs are feasible, where the feasibility of LMIs  ...  Recently, there has been an increasing research interest on the stability analysis problems for delayed Cohen-Grossberg neural networks, and many results have been reported in the literature.  ... 
doi:10.1109/tnn.2006.872355 pmid:16722186 fatcat:x6jsa5lr3jba3ds3saivhph2gq

Analysis of Exponential Stability for Neutral Stochastic Cohen-Grossberg Neural Networks with Mixed Delays

Tianqing Yang, Zuoliang Xiong, Cuiping Yang
2019 Discrete Dynamics in Nature and Society  
This paper is concerned with the mean-square exponential input-to-state stability problem for a class of stochastic Cohen-Grossberg neural networks.  ...  Moreover, two numerical examples and their simulations are given to illustrate the correctness of the theoretical results.  ...  Acknowledgments The authors thank National Natural Science Foundation of China (No. 61563033) for its financial support.  ... 
doi:10.1155/2019/4813103 fatcat:lsv2sqjterfgnmb636mpoptkcu

A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks

Huaguang Zhang, Zhanshan Wang, Derong Liu
2014 IEEE Transactions on Neural Networks and Learning Systems  
For the case of delay-dependent stability, the results on how to deal with the constant/variable delay in recurrent neural networks are summarized.  ...  The purpose of this paper is to provide a comprehensive review of the research on stability of continuous-time recurrent neural networks, including Hopfield neural networks, Cohen-Grossberg neural networks  ...  Cohen and Grossberg [55] presented the analytical results on the global stability of symmetric recurrent neural networks.  ... 
doi:10.1109/tnnls.2014.2317880 fatcat:coaqgxoycbbmbkyqwim5sqdfmi

Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks

Chuangxia Huang, Jie Cao, Peng Wang
2016 Discrete Dynamics in Nature and Society  
We address the problem of stochastic attractor and boundedness of a class of switched Cohen-Grossberg neural networks (CGNN) with discrete and infinitely distributed delays.  ...  conditions regarding the issues of mean-square uniformly ultimate boundedness, the existence of a stochastic attractor, and the mean-square exponential stability for the switched Cohen-Grossberg neural  ...  Acknowledgments The work is partially supported by the National Natural Science Foundation of China (numbers 11101053 and  ... 
doi:10.1155/2016/4958217 fatcat:cjvy26kb35eazd7mm3s6p2y3s4

Novel stability criteria for uncertain delayed Cohen–Grossberg neural networks using discretized Lyapunov functional

Fernando O. Souza, Reinaldo M. Palhares, Petr Ya. Ekel
2009 Chaos, Solitons & Fractals  
Available online xxxx a b s t r a c t This paper deals with the stability analysis of delayed uncertain Cohen-Grossberg neural networks (CGNN).  ...  Particularly one stability criterion is derived from the selection of a parameter-dependent Lyapunov-Krasovskii functional, which allied with the Gu's discretization technique and a simple strategy that  ...  Acknowledgements This work has been supported in part by the Brazilian agencies CNPq, CAPES and FAPEMIG.  ... 
doi:10.1016/j.chaos.2008.09.009 fatcat:lx3all7r5vaczijdjxh7e73aeu

Stability in Switched Cohen-Grossberg Neural Networks with Mixed Time Delays and Non-Lipschitz Activation Functions

Huaiqin Wu, Guohua Xu, Chongyang Wu, Ning Li, Kewang Wang, Qiangqiang Guo
2012 Discrete Dynamics in Nature and Society  
The stability for the switched Cohen-Grossberg neural networks with mixed time delays andα-inverse Hölder activation functions is investigated under the switching rule with the average dwell time property  ...  Two illustrative examples are given to demonstrate the validity of the theoretical results.  ...  Exponential Stability of the Cohen-Grossberg Neural Network In this section, the Cohen-Grossberg neural network 2.1 is considered the main results on the existence and stability of equilibrium point of  ... 
doi:10.1155/2012/435402 fatcat:gj5zaz4grbaubaech7vnvz5n2u

Novel criteria for robust stability of Cohen-Grossberg neural networks with multiple time delays

Muhammet Mert Ketencigil, Ozlem Faydasicok, Sabri Arik
2022 Discrete and Continuous Dynamical Systems. Series S  
<p style='text-indent:20px;'>This research paper deals with the investigation of global robust stability results for Cohen-Grossberg neural networks involving the multiple constant time delays.  ...  robust asymptotic stability of equilibrium points of this nonlinear Cohen-Grossberg-type neural network model involving the multiple time delays.  ...  This research paper has focused on the investigation of global robust stability results for Cohen-Grossberg neural networks including the multiple time delays.  ... 
doi:10.3934/dcdss.2022081 fatcat:vrdgph5twjeyrlv3fv7wx4mmim

An LMI approach to global asymptotic stability of the delayed Cohen–Grossberg neural network via nonsmooth analysis

Wenwu Yu, Jinde Cao, Jun Wang
2007 Neural Networks  
In this paper, a linear matrix inequality (LMI) to global asymptotic stability of the delayed Cohen-Grossberg neural network is investigated by means of nonsmooth analysis.  ...  Several new sufficient conditions are presented to ascertain the uniqueness of the equilibrium point and the global asymptotic stability of the neural network.  ...  In Rong (2005) , robust and asymptotic stability of Cohen-Grossberg neural networks is considered.  ... 
doi:10.1016/j.neunet.2007.07.004 pmid:17703919 fatcat:a5drbvlmt5bcfctgxsxutnwnwe

Global Robust Exponential Stability and Periodic Solutions for Interval Cohen-Grossberg Neural Networks with Mixed Delays

Yanke Du, Rui Xu
2013 Discrete Dynamics in Nature and Society  
A class of interval Cohen-Grossberg neural networks with time-varying delays and infinite distributed delays is investigated.  ...  , and global robust exponential stability of the equilibrium point and the periodic solution to the neural networks.  ...  Acknowledgment This work was supported by the National Natural Science Foundation of China (11071254).  ... 
doi:10.1155/2013/963897 fatcat:2nit4loeq5d3dni4zkehzwbbue

Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays

Li Wan, Qinghua Zhou, Jizi Li
2012 Abstract and Applied Analysis  
This paper investigates dynamical behaviors of stochastic Cohen-Grossberg neural network with delays and reaction diffusion.  ...  Finally, a numerical example is given to illustrate the correctness and effectiveness of our theoretical results.  ...  Acknowledgments This work was supported by the National Natural Science Foundation of China nos. 11271295, 10926128, 11047114, and 71171152 , Science and Technology Research Projects of Hubei Provincial  ... 
doi:10.1155/2012/369725 fatcat:fkjlkehuzramrorwyowpnw4uem

Exponential stability criteria for fuzzy bidirectional associative memory Cohen-Grossberg neural networks with mixed delays and impulses

Weina He, Longxian Chu
2017 Advances in Difference Equations  
This paper is concerned with fuzzy bidirectional associative memory (BAM) Cohen-Grossberg neural networks with mixed delays and impulses.  ...  By constructing an appropriate Lyapunov function and a new differential inequality, we obtain some sufficient conditions which ensure the existence and global exponential stability of a periodic solution  ...  Acknowledgements The authors would like to thank the referees and the editor for helpful suggestions incorporated into this paper. Received: 10 September 2016 Accepted: 4 January 2017  ... 
doi:10.1186/s13662-017-1082-9 fatcat:rl6l37q6vjhcxl3dpqqgtmdv3e

Global asymptotic stability of stochastic Cohen–Grossberg-type BAM neural networks with mixed delays: An LMI approach

Xiaodi Li, Xilin Fu
2011 Journal of Computational and Applied Mathematics  
Cohen-Grossberg-type BAM neural networks with mixed delays.  ...  In this paper, we consider the stochastic Cohen-Grossberg-type BAM neural networks with mixed delays.  ...  However, to the best of our knowledge, there are almost no LMI-based results on the problems of global stability of Cohen-Grossberg-type BAM neural networks with time-varying and distributed delays.  ... 
doi:10.1016/j.cam.2010.10.035 fatcat:g46lhh2gifdmfm3n6ka546q6ne

Stability analysis of impulsive stochastic Cohen–Grossberg neural networks with mixed time delays

Qiankun Song, Zidong Wang
2008 Physica A: Statistical Mechanics and its Applications  
In this paper, the problem of stability analysis for a class of impulsive stochastic Cohen-Grossberg neural networks with mixed delays is considered.  ...  point for the addressed impulsive stochastic Cohen-Grossberg neural network with mixed delays.  ...  In [28, 33, 34] , the authors have dealt with the robust stability of uncertain stochastic neural networks with delays by employing Lyapunov functional.  ... 
doi:10.1016/j.physa.2008.01.079 fatcat:miz3n26jvvelvi3ra5rmqhysnu
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