2010
DOI: 10.1016/j.jfranklin.2010.07.002
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Stochastically asymptotic stability of delayed recurrent neural networks with both Markovian jump parameters and nonlinear disturbances

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Cited by 55 publications
(10 citation statements)
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“…On another active research front, time-delay systems have received a great deal of attention in recent years owing to their successful applications in a wide range of areas such as chemical processes, nuclear reactors and biological systems, and time delays may lead to instability or significantly deteriorated performances for the corresponding closed-loop systems [5][6][7][8]. Accordingly, a variety of important and interesting results have been reported on neural networks with time delays and/or parameter uncertainties based on the linear matrix inequality (LMI) approach (see, e.g., [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] and the references therein).…”
Section: Introductionmentioning
confidence: 99%
“…On another active research front, time-delay systems have received a great deal of attention in recent years owing to their successful applications in a wide range of areas such as chemical processes, nuclear reactors and biological systems, and time delays may lead to instability or significantly deteriorated performances for the corresponding closed-loop systems [5][6][7][8]. Accordingly, a variety of important and interesting results have been reported on neural networks with time delays and/or parameter uncertainties based on the linear matrix inequality (LMI) approach (see, e.g., [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] and the references therein).…”
Section: Introductionmentioning
confidence: 99%
“…Numerical examples demonstrate the theoretical findings. The ideas and methods behind this paper can be thereby used to deal with the problems of the underlying system with time delays [36][37][38] or neural networks with Markovian jump parameters [39], etc. …”
Section: Discussionmentioning
confidence: 99%
“…Therefore, in Refs. [7][8][9][10][11] authors have studied stochastic perturbations on neural networks. In addition, anti-synchronization control of neural networks plays important roles in many potential applications, e.g., non-volatile memories, neuromorphic devices to simulate learning, adaptive and spontaneous behavior.…”
Section: Introductionmentioning
confidence: 99%