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Functional Differential and Difference Equations with Applications
2012
Abstract and Applied Analysis
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delays, mean square exponential stability of stochasticswitched systems with interval time-varying delays, global exponential stability of periodic solutions to neural networks and impulsive neural networks ...
with time-varying delays, and stability of impulsive stochastic functional differential systems. ...
delays, mean square exponential stability of stochasticswitched systems with interval time-varying delays, global exponential stability of periodic solutions to neural networks and impulsive neural networks ...
doi:10.1155/2012/986585
fatcat:ssexk5oiybgpxcjqmer7w7tsoe
Nonlinear Analysis of Dynamical Complex Networks
2013
Abstract and Applied Analysis
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Examples of such complex networks include the Internet, that is, a network of routers or domains, the World Wide Web (WWW), that is, a network of websites, the brain, that is, a network of neurons, and ...
Complex networks are composed of a large number of highly interconnected dynamical units and therefore exhibit very complicated dynamics. ...
Acknowledgments This special issue is a timely reflection of the research progress in the area of nonlinear analysis of dynamical complex networks. ...
doi:10.1155/2013/530124
fatcat:k2qk6lytnvdcdlkjq6mpga7pya
Periodic Solutions for Impulsive Stochastic BAM Neural Networks with Time-Varying Delays in Leakage Terms
2013
International Journal of Differential Equations
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By using an integral inequality, we establish some sufficient conditions for the existence andp-exponential stability of periodic solutions for a class of impulsive stochastic BAM neural networks with ...
time-varying delays in leakage terms. ...
Acknowledgment This work is supported by the National Natural Science Foundation of People's Republic of China under Grant 10971183. ...
doi:10.1155/2013/543947
fatcat:ukhvify22zbnhmnn2e7kedwixe
Almost Sure Stability of Stochastic Neural Networks with Time Delays in the Leakage Terms
2016
Discrete Dynamics in Nature and Society
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The stability issue is investigated for a class of stochastic neural networks with time delays in the leakage terms. ...
of stochastic neural networks. ...
For example, Liu in [11] investigated the existence of a unique equilibrium and globally exponential stability for a class of BAM neural networks with timevarying delays in the leakage terms by using ...
doi:10.1155/2016/2487957
fatcat:3vdy336edbgmvnx2t5mejbsygq
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. ...
Several sufficient conditions ensuring robust exponential stabilization are derived by using periodically intermittent control and Lyapunov functional. ...
Liao and Mao [1, 2] investigated the stability of stochastic neural network for the first time in 1996. ...
doi:10.1155/2014/842976
fatcat:atpwcivttjdnblkxklupidvlb4
Almost Periodic Solution for Memristive Neural Networks with Time-Varying Delays
2013
Journal of Applied Mathematics
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This paper is concerned with the dynamical stability analysis for almost periodic solution of memristive neural networks with time-varying delays. ...
Moreover, as a special case, the condition which ensures the global exponential stability of a unique periodic solution is also presented for the considered memristive neural networks. ...
Acknowledgments This work was supported by the Natural Science Foundation of Hebei Province of China (A2011203103) and the Hebei Province Education Foundation of China (2009157). ...
doi:10.1155/2013/716172
fatcat:ezcp6ipsszfu7c44iiej5zz5gq
Nonlinear Analysis of Dynamical Complex Networks 2014
2014
Abstract and Applied Analysis
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After a rigorous peer review process, 28 papers have been selected that provide overviews, solutions, or early promises, to manage, analyze, and interpret dynamical behaviours of complex systems. ...
Subsequently, in the paper entitled "Timeand event-driven communication process for networked control systems: a survey" by L. ...
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
Square-Mean Pseudo Almost Periodic Solutions for Quaternion-Valued Stochastic Neural Networks with Time-Varying Delays
2021
Mathematical Problems in Engineering
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, we obtain some sufficient conditions for the existence of square-mean pseudo almost periodic solutions for this class of neural networks. ...
In this paper, we are concerned with a class of quaternion-valued stochastic neural networks with time-varying delays. ...
Subsequently, some scholars have studied the existence and stability of periodic solutions and almost periodic solutions for stochastic neural networks [29] [30] [31] , for example, Lu and Ma [29] dealt ...
doi:10.1155/2021/6679326
fatcat:gducm6t2zjfadisgijr22cg7w4
New p-th Moment Exponential Stability Criteria for FCNNs with Time-Varying Delays and Stochastic Effects
2020
Dynamic systems and applications
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This paper is concerned with p-th moment exponential stability of fuzzy cellular neural networks(FCNNs) with time-varying delays and stochastic effects. ...
Constructing some suitable Lyapunov functional and using stochastic analysis technique, some sufficient conditions are presented to guarantee p-th moment exponential stability of stochastic FCNNs with ...
are utilized to derive the conditions guaranteeing the existence of periodic solutions of stochastic delay cellular neural networks and the stability of periodic solutions. ...
doi:10.46719/dsa202029211
fatcat:ddgwh2fwffg6jhgd44pg3b63zq
Dynamic analysis of stochastic fuzzy Cohen-Grossberg neural networks with time-varying delays
2015
Advances in Difference Equations
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This paper is concerned with the problem of stochastic stability for a class of fuzzy Cohen-Grossberg neural networks, in which the interconnections and delays are time-varying. ...
Based on a Lyapunov function and the Ito differential formula, a set of novel sufficient conditions on the pth moment exponential stability of the equilibrium of the system is derived. ...
Acknowledgements The author would like to thank the editor and anonymous reviewers for their helpful comments and valuable suggestions, which have greatly improved the quality of this paper. ...
doi:10.1186/s13662-015-0431-9
fatcat:phzvboe3zbhzne6doihnqcw3vq
Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks
2016
Discrete Dynamics in Nature and Society
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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
Stability of Almost Periodic Solution for a General Class of Discontinuous Neural Networks with Mixed Time-Varying Delays
2013
Mathematical Problems in Engineering
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The global exponential stability issues are considered for almost periodic solution of the neural networks with mixed time-varying delays and discontinuous neuron activations. ...
In addition, the existence and asymptotically almost periodic behavior of the solution of the neural networks are also investigated under the framework of the solution in the sense of Filippov. ...
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 Analysis of Discrete-Time Recurrent Neural Networks With Stochastic Delay
2009
IEEE Transactions on Neural Networks
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Index Terms-Delay dependence, discrete-time recurrent neural networks (RNNs), mean square stability, stochastic time delay. ...
Improved conditions for the mean square stability of these systems are obtained by employing new Lyapunov functions and novel techniques are used to achieve delay dependence. ...
In [35] , the existence of periodic solutions has been proved for a nonautonomous discrete-time neural network by using the topological degree theory. ...
doi:10.1109/tnn.2009.2023379
pmid:19605322
fatcat:cjtx655zhvelfna36tleplglmq
Advances in Modelling, Analysis, and Design of Delayed Systems
2018
Mathematical Problems in Engineering
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Firstly, the existence and uniqueness of solution for memristive neural networks with deviating argument are discussed. ...
A derivation of sufficient conditions for this class of neural networks to possess invariant manifolds follows, and a global exponential stability criterion is presented. ...
We would like to express our gratitude to the European Regional Development Fund and to the Ministry of Education, Youth and Sports of the Czech Republic that financially supported the editors' work under ...
doi:10.1155/2018/5078027
fatcat:jazmmscrffcmjli2zvx6g6z2rm
On the periodic solution of a class of stochastic nonlinear system with delays
2018
Journal of Nonlinear Science and its Applications
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Some criteria on existence and uniqueness of periodic solution are established for the stochastic nonlinear system. ...
This paper is devoted to investigating a class of stochastic nonlinear system with periodic coefficients. ...
Acknowledgment The authors would like to thank the editors and the anonymous referees for their valuable comments and suggestions to improve the presentation of this paper. ...
doi:10.22436/jnsa.011.02.08
fatcat:jb5lnv7zjjebfgrynbiomk6ru4
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