This paper develops new 2D systems state space models for discrete linear repetitive processes. The overall aim is to use these models and well established 2D systems theory to address basic systems theoretic question...
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This paper develops new 2D systems state space models for discrete linear repetitive processes. The overall aim is to use these models and well established 2D systems theory to address basic systems theoretic questions for this subclass of repetitive processes. To this end, it is shown that the stability theories are equivalent and a state transition matrix is developed and used to present some basic results on reachability. Cet article developpe une nouvelle classe de modeles des processus lineaires, discrets et repetitifs. L'objectif est du'utiliser conjointement ces modeles et la theorie classique des systemes 2D afin der examiner, pour cette classe de systemes repetitifs, des notions de base la theorie des systemes. A cette fin, il est montreque les theories de la stabili te sont equivalentes. Une matrice de transition est definie, qui nous permet de presenter quelques resultats de base concemant latteignab ilite.
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