Title | ||
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Finite-time boundedness for uncertain discrete neural networks with time-delays and Markovian jumps. |
Abstract | ||
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This paper is concerned with stochastic finite-time boundedness analysis for a class of uncertain discrete-time neural networks with Markovian jump parameters and time-delays. The concepts of stochastic finite-time stability and stochastic finite-time boundedness are first given for neural networks. Then, applying the Lyapunov approach and the linear matrix inequality technique, sufficient criteria on stochastic finite-time boundedness are provided for the class of nominal or uncertain discrete-time neural networks with Markovian jump parameters and time-delays. It is shown that the derived conditions are characterized in terms of the solution to these linear matrix inequalities. Finally, numerical examples are included to illustrate the validity of the presented results. |
Year | DOI | Venue |
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2014 | 10.1016/j.neucom.2013.12.054 | Neurocomputing |
Keywords | Field | DocType |
Markovian jump systems,Neural networks,Discrete-time systems,Stochastic finite-time boundedness,Linear matrix inequalities | Applied mathematics,Stochastic neural network,Artificial intelligence,Artificial neural network,Linear matrix inequality,Lyapunov function,Pattern recognition,Markov chain,Stochastic process,Discrete time and continuous time,Calculus,Jump process,Mathematics | Journal |
Volume | ISSN | Citations |
140 | 0925-2312 | 24 |
PageRank | References | Authors |
0.82 | 23 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yingqi Zhang | 1 | 190 | 5.97 |
Peng Shi | 2 | 15816 | 704.36 |
Sing Kiong Nguang | 3 | 1326 | 103.71 |
Jianhua Zhang | 4 | 120 | 12.91 |
H. R. Karimi | 5 | 3569 | 223.59 |