Minimal Realization of MIMO Linear Systems in the Max-algebra

Zhang Ren-zhong · Shuxue de shijian yu renshi · 2006

This paper investigates the realization of the infinite matrix-sequence {G_i}~∞_0 in the Max-algebra.At first,the concept of the periodic matrix-sequence is given,secondly,the relation of elements with periodic matrix-sequence {G_i}~∞_0 between first-order and second-order is obtained.Furthermore,the necessary and sufficient condition for the existence of minimal realization with one-dimensioned and two-dimensioned for a MIMO linear system is also obtained.

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