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MINIMAL POLYNOMIAL MATRIX AND LINEAR MULTIVARIABLE SYSTEM (Ⅱ)

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【作者】 黄琳; 于年才;

【Author】 Hwang Ling Yu Nian-cai(Department of Mechanics, Peking University, Beijing)

【机构】 Department of Mechanics; Peking University; Beijing; Beijing;

【摘要】 <正> part(Ⅰ) of this work is on the theory of minimal polynomial matrix and Part(Ⅱ)is onthe applications of this theory to linear multivarible systeme.In I of this part,using the theory to Part(Ⅰ),some results about input part of a linearmultivarble system are discussed in detail and in Ⅱ,using duality properties,the conceptsabout row n.p.m.and row generating system,etc.are given. and some results about outputpart of linear multivariable system are discussed, too.In Ⅲ,we discuss the approach whichcan give the polynomial model with less dimension from the state-space model and in Ⅳ wediscuss tha inverse of the problem to give the state-space model from the polynomial model.Some interesting examples are given to explain the theory and the approach.

【Abstract】 part (Ⅰ) of this work is on the theory of minimal polynomial matrix and Part (Ⅱ) is on the applications of this theory to linear multivariable systems.In I of this part, using the theory in Part (Ⅰ), some results about input part of a linear multivariable system are discussed in detail and in II, using duality properties, the concepts about row n.p.m.and row generating system, etc. are given, and some results about output part of linear multivariable system are discussed, too. In III, we discuss the approach which can give the polynomial model with less dimension from the state-space modeland in IV we discuss tha inverse of the problem to give the state-space model from the polynomial model. Some interesting examples are given to explain the theory and the approach.

【关键词】 polynomial; inverse; generating; duality; explain; suppose; 二甲; expressing;
  • 【文献出处】 Applied Mathematics and Mechanics(English Edition) ,应用数学和力学(英文版) , 编辑部邮箱 ,1985年10期
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