Matrix pencil approach to geometric system theory
作者:
N.Karcanias,
期刊:
Proceedings of the Institution of Electrical Engineers
(IET Available online 1979)
卷期:
Volume 126,
issue 6
页码: 585-590
年代: 1979
DOI:10.1049/piee.1979.0138
出版商: IEE
数据来源: IET
摘要:
A number of relationships between the geometric and the algebraic linear system theory are briefly surveyed, which may be discussed in terms of the classical theory of matrix pencils. The input-output pencil is defined and used for the characterisations of the geometrical concepts of (A, B)-invariant subspace, controllability subspace and transmission subspace. The problem of finding the maximal (A, B)-invariant and maximal controllability subspaces contained in another subspace is finally reduced to a problem of analysing the structure of a particular pencil, the restriction pencil. A common theme running through all the analyses is the use of the canonical forms of Weierstrass and Kronecker.
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