Geometric approach to a class of multidimensional hybrid systems

被引：0

作者：

Prepelita, Valeriu ^{[1
]}

Vasilache, Tiberiu ^{[1
]}

Doroftei, Mona ^{[1
]}

机构：

[1] Univ Politehn Bucuresti, Dept Math Informat, Bucharest 060042, Romania

来源：

BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS | 2012年 / 17卷 / 02期

关键词：

geometric approach; controllability; reachability; multidimensional hybrid systems; linear systems; time-invariant systems; REALIZATION; MODELS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of multidimensional time-invariant hybrid control systems is studied in the geometric approach. The space of the reachable states is characterized as the minimal subspace of the state space which is invariant with respect to the drift matrices and which contains the image of the input matrix. An algorithm is provided which compute this subspace. Some necessary and sufficient conditions of reachability are derived. By duality, it can be shown that the space of the unobservable states is the maximal subspace which is invariant with respect to the drift matrices and is included in the kernel of the output matrix of the system.

引用

页码：92 / 103

页数：12

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