Delay-dependent approach to robust stability for uncertain discretestochastic recurrent neural networks with interval time-varying delays

被引:0
|
作者
Lu, Chien-Yu [1 ]
Shyr, Wen-Jye [1 ]
Yao, Kai-Chao [1 ]
Chen, Der-Fa [1 ]
机构
[1] Department of Industrial Education and Technology, National Changhua University of Education, No. 1, Jin-De Road, Changhua 500, Taiwan
来源
ICIC Express Letters | 2009年 / 3卷 / 03期
关键词
Time delay - Time varying networks - Equations of state - Time varying control systems - Recurrent neural networks - Robustness (control systems) - Stability criteria - Stochastic systems;
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摘要
This paper considers the problem of global robust delay-dependent stabilityfor uncertain discrete stochastic recurrent neural networks with intervaltime-varying delays. The parameter uncertainties are assumed to be time-varyingnorm-bounded in the state equation. The activation functions are assumed to beglobally Lipschitz continuous. Based on an appropriate Lyapunov-Krasovskiifunctional, global robust delay-dependent stability criterion which is dependenton both the lower bound and upper bound of the interval time-varying delays isderived by introducing some slack matrix variables. A sufficient condition forthe discrete stochastic recurrent neural networks with interval time-varyingdelays is presented in terms of the linear matrix inequality (LMI). A Numericalexample is given to demonstrate the reduced conservatism of the proposed resultsin this paper. ICIC International © 2009.
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页码:457 / 463
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