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New Results of Global Asymptotical Stability for Impulsive Hopfield Neural Networks with Leakage Time-Varying Delay
2017
Journal of Applied Mathematics and Physics
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In this paper, Hopfield neural networks with impulse and leakage time-varying delay are considered. ...
The criterion of stability depends on the impulse and the bounds of the leakage time-varying delay and its derivative, and is presented in terms of a linear matrix inequality (LMI). ...
[35] , initially studies the impulsive effects on existence-uniqueness and stability problems of recurrent neural networks with leakage delay via some analysis techniques on impulsive functional differential ...
doi:10.4236/jamp.2017.511173
fatcat:3ua7yrlcqbb73lroiq6lndzn3a
Robust Stability Analysis of Fractional-Order Hopfield Neural Networks with Parameter Uncertainties
2014
Mathematical Problems in Engineering
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The issue of robust stability for fractional-order Hopfield neural networks with parameter uncertainties is investigated in this paper. ...
Moreover, robust synchronization and quasi-synchronization between the class of neural networks are discussed. ...
For tion and quasi-synchronization for fractional-order Hopfield
the stability analysis of fractional-order neural networks, neural networks with parameter uncertainties are presented
the linear ...
doi:10.1155/2014/302702
fatcat:dqgsar6kwnexpkhknj7tifnuje
Dynamics of Uncertain Discrete-Time Neural Network with Delay and Impulses
2015
Discrete Dynamics in Nature and Society
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The stability of discrete-time impulsive delay neural networks with and without uncertainty is investigated. ...
Moreover, some new sufficient conditions are derived to guarantee the stability of uncertain discrete-time neural network with delay and impulse by using Lyapunov function and linear matrix inequality ...
The robust exponential stability of discrete-time switched Hopfield neural networks with time delay was studied in [29] . ...
doi:10.1155/2015/431027
fatcat:bajnr7z75faszhlshuxonxf2de
Further analysis on stability of delayed neural networks via inequality technique
2011
Journal of Inequalities and Applications
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In this paper, further analysis on stability of delayed neural networks is presented via the impulsive delay differential inequality, which was obtained by Li in recent publications. ...
Based on the inequality, some new sufficient conditions ensuring global exponential stability of impulsive delay neural networks are derived, and the estimated exponential convergence rates are also obtained ...
of impulsive delay neural networks by establishing a delay differential inequality with impulsive initial conditions. ...
doi:10.1186/1029-242x-2011-103
fatcat:dohcifbnsbbhvcqsat3fdigur4
Nonlinear Measure about l 2-norm with Application in Synchronization Analysis of Complex Networks via the General Intermittent Control
2013
International Journal of Online Engineering (iJOE)
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The numerical simulations whose theoretical results are applied to robust synchronization of complex networks demonstrate the effectiveness and feasibility of the proposed technique. ...
Index Terms-nonlinear measure about l 2 -norm, the general intermittent control, exponential stability, synchronization; complex networks. I. ...
The techniques have been successfully applied to Chaotic delayed Hopfield neural networks and hyperchaotic Chen system. ...
doi:10.3991/ijoe.v9is4.2702
fatcat:ueuarhe2q5ditezmvh5evyzoxm
A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks
2014
IEEE Transactions on Neural Networks and Learning Systems
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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 ...
Since time delay is inevitable in practice, stability results of recurrent neural networks with different classes of time delays are reviewed in detail. ...
With the applications of many different mathematical tools and techniques to the stability analysis of neural networks, the shortcomings of LMI-based method have appeared. ...
doi:10.1109/tnnls.2014.2317880
fatcat:coaqgxoycbbmbkyqwim5sqdfmi
Exponential Stability of Cohen-Grossberg Neural Networks with Impulse Time Window
2016
Discrete Dynamics in Nature and Society
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This paper concerns the problem of exponential stability for a class of Cohen-Grossberg neural networks with impulse time window and time-varying delays. ...
By utilizing Lyapunov functional theory, inequality technique, and the analysis method, we obtain some novel and effective exponential stability criteria for the Cohen-Grossberg neural networks. ...
Global exponential stability of Cohen-Grossberg neural systems with time-varying delays via impulsive control was investigated in [2] . ...
doi:10.1155/2016/2762960
fatcat:27sqgu33dfapzi7wsbet74z4xu
Robust Exponential Stabilization of Stochastic Delay Interval Recurrent Neural Networks with Distributed Parameters and Markovian Jumping by Using Periodically Intermittent Control
2014
Abstract and Applied Analysis
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We consider a class of stochastic delay recurrent neural networks with distributed parameters and Markovian jumping. ...
It is assumed that the coefficients in these neural networks belong to the interval matrices. ...
[10] discussed the exponential stability and synchronization of delay neural networks with reaction-diffusion terms by impulsive control. ...
doi:10.1155/2014/842976
fatcat:atpwcivttjdnblkxklupidvlb4
Impulsive stabilization of fuzzy neural networks with time-varying delays
2012
Arabian Journal of Mathematics
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This paper is concerned with stabilization for a class of Takagi-Sugeno fuzzy neural networks (TSFNNs) with time-varying delays. An impulsive control scheme is employed to stabilize a TSFNN. ...
Then, we present several stabilization conditions based on Lyapunov function, inequality techniques and linear matrix inequality approach. ...
Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) ...
doi:10.1007/s40065-012-0052-z
fatcat:4kyxel7s25hghbyugvhhcthdee
Asymptotic Stability and Exponential Stability of Impulsive Delayed Hopfield Neural Networks
2013
Abstract and Applied Analysis
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By means of constructing the extended impulsive Halanay inequality, we also analyze the exponential stability of impulsive delayed Hopfield neural networks. ...
A criterion for the uniform asymptotic stability of the equilibrium point of impulsive delayed Hopfield neural networks is presented by using Lyapunov functions and linear matrix inequality approach. ...
of Shandong Province (BS2012DX039), and National Natural Science Foundation of China (11226136, 11301308). ...
doi:10.1155/2013/638496
fatcat:zody2enc6zc3fblz37yfc5bwpa
Mathematical Theories and Applications for Nonlinear Control Systems
2019
Mathematical Problems in Engineering
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The paper entitled "Finite-Time Stabilization for Stochastic Inertial Neural Networks with Time-Delay via Nonlinear Delay Controller" by D. ...
Li et al. in the paper entitled "Exponential Stability of Antiperiodic Solution for BAM Neural Networks with Time-Varying Delays" consider a kind of BAM neural networks with leakage delays in the negative ...
The editors also wish to thank the anonymous reviewers for their careful reading of the manuscripts submitted to this special issue collection and their many insightful comments and suggestions. ...
doi:10.1155/2019/2065786
fatcat:qx66v5pu3fgo7ee4rt7rn6rcj4
Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses
2017
Complexity
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This paper investigates the existence and globally asymptotic stability of equilibrium solution for Riemann-Liouville fractional-order hybrid BAM neural networks with distributed delays and impulses. ...
The factors of such network systems including the distributed delays, impulsive effects, and two different fractional-order derivatives between the U-layer and V-layer are taken into account synchronously ...
Acknowledgments This work is jointly supported by the National Natural Science Fund of China (11301308, 61573096, and 61272530), ...
doi:10.1155/2017/6875874
fatcat:2zkim446abfs7psfjqi5oselxe
Globalμ-Stability Analysis for Impulsive Stochastic Neural Networks with Unbounded Mixed Delays
2013
Abstract and Applied Analysis
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We investigate the globalμ-stability in the mean square of impulsive stochastic neural networks with unbounded time-varying delays and continuous distributed delays. ...
By choosing an appropriate Lyapunov-Krasovskii functional, a novel robust stability condition, in the form of linear matrix inequalities, is derived. ...
Doctoral Foundation of University of Jinan (XBS1244). ...
doi:10.1155/2013/746241
fatcat:pxxy674d3bayrmfbksexswbzje
Exponential synchronization of discontinuous neural networks with time-varying mixed delays via state feedback and impulsive control
2014
Cognitive Neurodynamics
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This paper investigates drive-response synchronization for a class of neural networks with timevarying discrete and distributed delays (mixed delays) as well as discontinuous activations. ...
Strict mathematical proof shows the global existence of Filippov solutions to neural networks with discontinuous activation functions and the mixed delays. ...
of neural networks with time-varying mixed delays via impulsive control. ...
doi:10.1007/s11571-014-9307-z
pmid:25834647
pmcid:PMC4378667
fatcat:l32pfct3unhcxb6qdkdk6zwbni
Stability Analysis of Two Kinds of Fractional-Order Neural Networks Based on Lyapunov Method
2021
IEEE Access
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ACKNOWLEDGMENT This work was supported by the National Natural Science Foundation of China (Nos. 60972095, 61271362, 61671362,62071366) ...
In [32] , the global stability of Hopfield neural networks with fractional delay is studied. [33] studied the stability of nonlinear fractionalorder cellular neural networks with multiple delays. ...
In [30] , the Gronwall inequality is applied to discuss the finite time stability of neural networks with fractional delay. ...
doi:10.1109/access.2021.3110764
fatcat:peyjaa4fhneyffbnmtqu2mnxum
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