Delay-Dependent Exponential Stability for Nonlinear Reaction-Diffusion Uncertain Cohen-Grossberg Neural Networks with Partially Known Transition Rates via Hardy-Poincaré Inequality

在线阅读 下载PDF 导出详情
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.
机构地区 不详
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)