纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2010年
2期
275-282
,共8页
变时滞%Lagrange稳定性%全局指数吸引集%非自治CGNN
變時滯%Lagrange穩定性%全跼指數吸引集%非自治CGNN
변시체%Lagrange은정성%전국지수흡인집%비자치CGNN
time-varying delays%Lagrange stability%global exponential attractive set%non-autonomous CGNN
基于考虑两种不同类型的激活函数,本文研究了非自治变时滞Cohen-Grossberg神经网络(CGNN)在Lagrange意义下的全局指数稳定性,通过利用新的不等式技巧和构造恰当的Lyapunov泛函给出非自治变时滞CGNN模型在Lagrange意义下全局指数稳定性(即一致有界性)以及对其全局指数吸引集估计的代数判据,并给出应用例子加以验证.
基于攷慮兩種不同類型的激活函數,本文研究瞭非自治變時滯Cohen-Grossberg神經網絡(CGNN)在Lagrange意義下的全跼指數穩定性,通過利用新的不等式技巧和構造恰噹的Lyapunov汎函給齣非自治變時滯CGNN模型在Lagrange意義下全跼指數穩定性(即一緻有界性)以及對其全跼指數吸引集估計的代數判據,併給齣應用例子加以驗證.
기우고필량충불동류형적격활함수,본문연구료비자치변시체Cohen-Grossberg신경망락(CGNN)재Lagrange의의하적전국지수은정성,통과이용신적불등식기교화구조흡당적Lyapunov범함급출비자치변시체CGNN모형재Lagrange의의하전국지수은정성(즉일치유계성)이급대기전국지수흡인집고계적대수판거,병급출응용례자가이험증.
In this paper, based on two different kinds of activation functions, the global exponential stability in Lagrange sense is studied for Non-autonomons Cohen-Grossberg neural network with time-varying delays. Algebraic criteria are given for the global exponential stability in Lagrange sense and detailed estimation of global exponential attractive sets by constructing suitable Lyapunov function. An illustrate example is given to verify the obtained results.
