Filters








64 Hits in 8.1 sec

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  ...  Index Terms-Cohen-Grossberg neural networks, discrete delays, distributed delays, global asymptotic stability, linear matrix inequality (LMI), Lyapunov-Krasovskii functional, stochastic systems.  ...  In this letter, we deal with the global asymptotic stability analysis problem for a class of stochastic Cohen-Grossberg neural networks with discrete and distributed time-delays.  ... 
doi:10.1109/tnn.2006.872355 pmid:16722186 fatcat:x6jsa5lr3jba3ds3saivhph2gq

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  
Index Terms-Cohen-Grossberg neural networks, discrete delay, distributed delays, Hopfield neural networks, linear matrix inequality (LMI), Lyapunov diagonal stability (LDS), M-matrix, recurrent neural  ...  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  ...  Technical Skills Used in LMI-Based Stability Results for Delayed Neural Networks Note that LMI-based approaches for the stability analysis of recurrent neural networks with time delay are based on the  ... 
doi:10.1109/tnnls.2014.2317880 fatcat:coaqgxoycbbmbkyqwim5sqdfmi

Asymptotical Mean Square Stability of Cohen-Grossberg Neural Networks with Random Delay

Enwen Zhu, Hanjun Zhang, Jiezhong Zou
2010 Journal of Inequalities and Applications  
The asymptotical mean-square stability analysis problem is considered for a class of Cohen-Grossberg neural networks CGNNs with random delay.  ...  The main purpose of this paper is to establish easily verifiable conditions under which the random delayed Cohen-Grossberg neural network is asymptotical mean-square stability.  ...  Acknowledgments The authors would like to thank the Editor and the anonymous referees for their detailed comments and valuable suggestions which considerably improved the presentation of the this paper  ... 
doi:10.1155/2010/247587 fatcat:uxnr4oht2jfb3pzmuasklanbie

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  ...  be globally exponentially stable in terms of LMIs, and the exponential decay estimation is explicitly developed for the states too.  ...  In 31 , based on the Lyapunov-Krasovskii method and LMI approach, some sufficient conditions were derived for global robust exponential stability of a class of switched Hopfield neural networks with time-varying  ... 
doi:10.1155/2012/435402 fatcat:gj5zaz4grbaubaech7vnvz5n2u

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

Equilibrium and Stability Analysis of Takagi-Sugeno Fuzzy Delayed Cohen-Grossberg Neural Networks

Neyir Ozcan
2019 Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics  
This paper carries out an investigation into the problem of the global asymptotic stability of the class of Takagi-Sugeno (T-S) fuzzy delayed Cohen-Grossberg neural networks involving discrete time delays  ...  A new su¢ cient criterion for the uniqueness and global asymptotic stability of the equilibrium point for this class of fuzzy neural networks is proposed.  ...  In the recent years, a variety of su¢ cient conditions for the global asymptotic stability of delayed Cohen-Grossberg neural networks have been proposed [2] - [16] .  ... 
doi:10.31801/cfsuasmas.455799 fatcat:cpftmjqlvrczbhcc2l6rgrlhaa

Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time Delays

Hongwen Xu, Huaiqin Wu, Ning Li
2012 Abstract and Applied Analysis  
The interval exponential state estimation and robust exponential stability for the switched interval neural networks with discrete and distributed time delays are considered.  ...  Firstly, by combining the theories of the switched systems and the interval neural networks, the mathematical model of the switched interval neural networks with discrete and distributed time delays and  ...  This paper is supported by the National Science Foundation for Young Scholars of Heilongjiang Province, China QC2010044 , the Natural Science Foundation of Hebei Province of China A2011203103 , and the  ... 
doi:10.1155/2012/103542 fatcat:zeldjgee3zfj5owdhjhjccijzy

Stability analysis of discrete-time BAM neural networks based on standard neural network models

Zhang Sen-lin, Liu Mei-qin
2005 Journal of Zhejiang University: Science A  
We propose a new approach for analyzing the global asymptotic stability of the extended discrete-time bidirectional associative memory (BAM) neural networks.  ...  For the SNNMs, we derive the sufficient conditions for the global asymptotic stability of the equilibrium points, which are fonnulated as some linear matrix inequalities (LMIs).  ...  By using LMI toolbox in MATLAB, we can confirm the global asymptotic stability of SNNM and then of the discrete-time BAM neural networks.  ... 
doi:10.1631/jzus.2005.a0689 fatcat:ah636pbnz5felimaghkhxyahyi

Exponential Stability of Stochastic Delayed Neural Networks with Inverse Hölder Activation Functions and Markovian Jump Parameters

Yingwei Li, Huaiqin Wu
2014 Discrete Dynamics in Nature and Society  
The exponential stability issue for a class of stochastic neural networks (SNNs) with Markovian jump parameters, mixed time delays, andα-inverse Hölder activation functions is investigated.  ...  of LMIs to ensure the SNNs with noise perturbations to be globally exponentially stable in the mean square.  ...  Acknowledgments This work was supported by the National Science and Technology Major Project of China (no. 2011ZX05020-006) and Natural Science Foundation of Hebei Province of China (A2011203103).  ... 
doi:10.1155/2014/784107 fatcat:wahkkzjvo5awhertupiwtz3vgi

Stability of Almost Periodic Solution for a General Class of Discontinuous Neural Networks with Mixed Time-Varying Delays

Yingwei Li
2013 Mathematical Problems in Engineering  
The global exponential stability issues are considered for almost periodic solution of the neural networks with mixed time-varying delays and discontinuous neuron activations.  ...  Some sufficient conditions for the existence, uniqueness, and global exponential stability of almost periodic solution are achieved in terms of certain linear matrix inequalities (LMIs), by applying differential  ...  Acknowledgments This work was supported by the National Science and Technology Major Project of China (2011ZX05020-006) and the Natural Science Foundation of Hebei Province of China (A2011203103).  ... 
doi:10.1155/2013/236189 fatcat:5rvpufb4tff7bf2bjqibxwil4m

Stability and Synchronization of Discrete-Time Markovian Jumping Neural Networks With Mixed Mode-Dependent Time Delays

Yurong Liu, Zidong Wang, Jinling Liang, Xiaohui Liu
2009 IEEE Transactions on Neural Networks  
We first deal with the stability analysis problem of the addressed neural networks.  ...  Hence, different from the commonly used matrix norm theories (such as the -matrix method), a unified LMI approach is developed to solve the stability analysis and synchronization problems of the class  ...  In [44] , a delay-dependent approach has been developed to deal with the stability analysis problem for Markovian jumping stochastic Cohen-Grossberg neural networks with mixed time delays.  ... 
doi:10.1109/tnn.2009.2016210 pmid:19473937 fatcat:k6qsmwfxifbuneclf74vcqtqpe

On global stability criterion for neural networks with discrete and distributed delays

Ju H. Park
2006 Chaos, Solitons & Fractals  
Based on the Lyapunov functional stability analysis for differential equations and the linear matrix inequality (LMI) optimization approach, a new delay-dependent criterion for neural networks with discrete  ...  and distributed delays is derived to guarantee global asymptotic stability.  ...  It is noticed that most works on delayed neural networks have dealt with the stability analysis problem for neural networks with discrete time delays.  ... 
doi:10.1016/j.chaos.2005.08.147 fatcat:4ndbrulh65ezhmyc3serorvtgi

Global Robust Stability of Switched Interval Neural Networks with Discrete and Distributed Time-Varying Delays of Neural Type

Huaiqin Wu, Ning Li, Kewang Wang, Guohua Xu, Qiangqiang Guo
2012 Mathematical Problems in Engineering  
to be globally asymptotically robustly stable in terms of LMIs.  ...  By combing the theories of the switched systems and the interval neural networks, the mathematics model of the switched interval neural networks with discrete and distributed time-varying delays of neural  ...  Acknowledgments The authors are extremely grateful to the Editor and the Reviewers for their valuable comments and suggestions, which help to enrich the content and improve the presentation of this paper  ... 
doi:10.1155/2012/361871 fatcat:7meht7rozzgevfix6nndw677sq

Nonlinear Analysis of Dynamical Complex Networks 2014

Zidong Wang, Bo Shen, Hongli Dong, Jun Hu, Xiao He, Derui Ding
2014 Abstract and Applied Analysis  
Accordingly, the developments of the performance analysis and synthesis issues for various networked systems are systematically reviewed.  ...  This special issue starts with two survey papers on the recent advances of performance analysis with network-enhanced complexities and communication protocols for NCSs.  ...  Acknowledgments This special issue is a timely reflection of the research progress in the area of nonlinear analysis of dynamical complex networks.  ... 
doi:10.1155/2014/976231 fatcat:4pf2zd4h35gazgo2vyhoawgyka

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
« Previous Showing results 1 — 15 out of 64 results