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广义微分算子系统的正则性

ON THE REGULARITY PROPERTIES OF GENERALIZED DIFFERENTIAL OPPERATOR DYNAMICAL SYSTEMS
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摘要 研究了广义微分算子系统的传递正则性及状态正则性问题,特别是利用文[1]定义的多项式矩阵的无穷秩给出了若干判别定理,另外,还得到了与A.C.-Pugh和P.R.Ratcliffe用McMillan次数判别多项式矩阵T(s)没有无穷零点的著名条件deg(detT(s))=δM(T(s))相等价的条件。 Some regularity properties of the transmission functions and the state variables of generalized differential operator dynamical systems are atudied and some dscriminating theorems are got by means of the infinite-rank of polynomial matrices definited in the paper[1].By the way,the condition which it is equivalent to the famous condition deg(det T (s) )=δ_M(T(s) ),it was used to explain that the polynomial matrix T(s) had no infinite zeros,that A. C. Pugh and P. R. Ratcliffe Obtained in 1979 is discovered.
出处 《包头钢铁学院学报》 1995年第4期12-18,共7页 Journal of Baotou University of Iron and Steel Technology
关键词 正则性 无穷秩 McMillan次数 广义微分算子 regularity properties of the transmission functions and the state variables, infinite-rank, McMillan degrees
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