Attractors and the attraction basins of discrete-time cellular neural networks  

作　　者：MaRunnian XiYoumin 

机构地区：[1]SchoolofManagement,Xi'anJiaotongUniversity,Xi'an710049,P.R.China [2]SchoolofManagement,Xi'anJiaotongUniversity,Xi'an710049,P.R.China//KeyLabofInformationSciencesandEngineering,DalianUniversity,Dalian111662,P.R.China

出　　处：《Journal of Systems Engineering and Electronics》2005年第1期204-208,共5页系统工程与电子技术（英文版）

基　　金：ThisprojectwassupportedbytheNationalNaturalScienceFoundationofChina(2003033516).

摘　　要：The dynamic behavior of discrete-time cellular neural networks(DTCNN), which is strict with zero threshold value, is mainly studied in asynchronous mode and in synchronous mode. In general, a k-attractor of DTCNN is not a convergent point. But in this paper, it is proved that a k-attractor is a convergent point if the strict DTCNN satisfies some conditions. The attraction basin of the strict DTCNN is studied, one example is given to illustrate the previous conclusions to be wrong, and several results are presented. The obtained results on k-attractor and attraction basin not only correct the previous results, but also provide a theoretical foundation of performance analysis and new applications of the DTCNN.The dynamic behavior of discrete-time cellular neural networks(DTCNN), which is strict with zero threshold value, is mainly studied in asynchronous mode and in synchronous mode. In general, a k-attractor of DTCNN is not a convergent point. But in this paper, it is proved that a k-attractor is a convergent point if the strict DTCNN satisfies some conditions. The attraction basin of the strict DTCNN is studied, one example is given to illustrate the previous conclusions to be wrong, and several results are presented. The obtained results on k-attractor and attraction basin not only correct the previous results, but also provide a theoretical foundation of performance analysis and new applications of the DTCNN.

关 键 词：discrete-time cellular neural networks convergent point k-attractor attraction basin. 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]