含连续分布时滞的神经网络的耗散性分析
, PP. 166-168
Keywords: 分布时滞,耗散性,吸引集,dtributeddelays,dissipativity,attractingset
Abstract:
:?研究了一类具有连续分布时滞的神经网络的耗散性和全局吸引性.利用非负矩阵和微分不等式技巧,在一般的条件下,获得了关于此类系统解的耗散性的新判据,并估计出超球形全局吸引集的边界.
References
[1] | XU D.Asymptotic behavior of Hopfield neural networkswith delays[J].Differential Equations and DynamicalSystems,2001,9(3):353-364.
|
[2] | XU D,ZHAO H.Invairant and attracting sets of Hopfieldneural networks with delays[J].International Journal ofSystems Science,2001,(32):863.
|
[3] | LIAO X,WANG J.Global dissipativity of continuous-timerecurrent neural networks with time delays[J].PhysicalReview E(68),2003,016118:1-7.
|
[4] | Arik S.On the global dissipativity of dynamical neuralnetworks with time delays[J].Phys.Lett.A,2004,(326):126-132.
|
[5] | Lasalle J P.The stability of dynamical system[M].Phila-delphia:SIAM,1976.
|
[6] | Horn R A,Johnson C R.Matrix analysis[M].Eng.,Cam-bridge University Press,1985.
|
[7] | XUD.Integro-differential equations and delay integral in-equalities[J].Thoku Math.J.,1992,(44):365.
|
[8] | XU D,ZHAO H.Invariant set and attractivity of nonlin-ear differential equations with delays[J].Applied Mathe-matics letter,2002,(15):321-325.
|
Full-Text