数学物理学报
數學物理學報
수학물이학보
ACTA MATHEMATICA SCIENTIA
2010年
1期
42-53
,共12页
指数稳定%线性矩阵不等式%Lyapunov-Krasovskii泛函%随机神经网络
指數穩定%線性矩陣不等式%Lyapunov-Krasovskii汎函%隨機神經網絡
지수은정%선성구진불등식%Lyapunov-Krasovskii범함%수궤신경망락
Exponential stability%Linear matrix inequality (LMI)%Multiple delays%Lyapunov-Krasovskii functional%Stochastic neural networks
研究了一类具有多个时滞的随机神经网络的均方指数稳定性问题,应用Lyapunov-Krasovskii泛函稳定理论和线性矩阵不等式(LMI)方法,建立了该系统解的指数稳定判别准则,最后通过数值举例阐述了结果的有效性.
研究瞭一類具有多箇時滯的隨機神經網絡的均方指數穩定性問題,應用Lyapunov-Krasovskii汎函穩定理論和線性矩陣不等式(LMI)方法,建立瞭該繫統解的指數穩定判彆準則,最後通過數值舉例闡述瞭結果的有效性.
연구료일류구유다개시체적수궤신경망락적균방지수은정성문제,응용Lyapunov-Krasovskii범함은정이론화선성구진불등식(LMI)방법,건립료해계통해적지수은정판별준칙,최후통과수치거례천술료결과적유효성.
This paper studies mean square exponential stability for a class of stochastic neural networks with multiple constant or time-varying delays. Based on the Lyapunov-Krasovskii stability theory,new stability criterion is derived in terms of the linear matrix inequalities (LMIs) for these networks. Some examples are also presented as illustration.
