摘要
Inthispaper,stochasticglobalexponentialstabilitycriteriafordelayedimpulsiveMarkovianjumpingreaction-diffusionCohen-Grossbergneuralnetworks(CGNNsforshort)areobtainedbyusinganovelLyapunov-Krasovskiifunctionalapproach,linearmatrixinequalities(LMIsforshort)technique,It?formula,Poincar′einequalityandHardy-Poincaréinequality,wheretheCGNNsinvolveuncertainparameters,partiallyunknownMarkoviantransitionrates,andevennonlinearp-Laplacediffusion(p>1).ItisworthmentioningthatellipsoiddomainsinRm(m≥3)canbeconsideredinnumericalsimulationsforthefirsttimeowingtothesyntheticapplicationsofPoincar′einequalityandHardy-Poincar′einequality.Moreover,thesimulationnumericalresultsshowthateventhecorollariesoftheobtainedresultsaremorefeasibleandeffectivethanthemainresultsofsomerecentrelatedliteraturesinviewofsignificantimprovementintheallowableupperboundsofdelays.
出版日期
2014年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)