计算技术与自动化
計算技術與自動化
계산기술여자동화
COMPUTING TECHNOLOGY AND AUTOMATION
2014年
1期
14-18
,共5页
Hopfield神经网络%多稳定性%脉冲%时滞%Lyapunov函数%指数稳定性
Hopfield神經網絡%多穩定性%脈遲%時滯%Lyapunov函數%指數穩定性
Hopfield신경망락%다은정성%맥충%시체%Lyapunov함수%지수은정성
Hopfield-type neural networks%multistability%impulses%Time-delay%Lyapunov function%exponential stabili-ty
研究一类混杂型离散时间脉冲时滞 Hopfield神经网络的多稳定性问题。首先，运用 Brouwer不动点定理，证明所考虑的脉冲时滞神经网络具有多个平衡点。然后，引入Lyapunov函数，运用不等式分析技术，建立脉冲离散时滞 Hopfield神经网络多稳定性判别准则，并给出平衡点吸引域的估计。最后，通过数值实例仿真验证结果的有效性。
研究一類混雜型離散時間脈遲時滯 Hopfield神經網絡的多穩定性問題。首先，運用 Brouwer不動點定理，證明所攷慮的脈遲時滯神經網絡具有多箇平衡點。然後，引入Lyapunov函數，運用不等式分析技術，建立脈遲離散時滯 Hopfield神經網絡多穩定性判彆準則，併給齣平衡點吸引域的估計。最後，通過數值實例倣真驗證結果的有效性。
연구일류혼잡형리산시간맥충시체 Hopfield신경망락적다은정성문제。수선，운용 Brouwer불동점정리，증명소고필적맥충시체신경망락구유다개평형점。연후，인입Lyapunov함수，운용불등식분석기술，건립맥충리산시체 Hopfield신경망락다은정성판별준칙，병급출평형점흡인역적고계。최후，통과수치실례방진험증결과적유효성。
The multistability problem of a class of hybrid discrete-time impulsive Hopfield-type neural networks with de-lays is studied.First,by applying Brouwer fixed point theorem,it is proved that the impulsive delayed neural networks un-der consideration possess multiple equilibriums.Then a Lyapunov function based method combined with inequality based a-nalysis techniques is developed to establish a criterion for multistability of hybrid impulsive discrete-time Hopfield-type neu-ral networks with multiple equilibriums.Additionally,the estimates on the domains of attraction of stable equilibriums are provided.Finally,a numerical example is given to illustrate the effectiveness of the derived results.
