Graph theoretic structure of the matrix inverse relating to large-scale systems

Results are presented on the structural zeros of the inverse matrix. Applications are given relating to the Lyapunov equation, eigenvectors, structural transfer functions, the reachability matrix of any function of a matrix, and input-output reachability.

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Bibliographic Details
Published in:International journal of control 1985-01, Vol.41 (2), p.499-505
Main Authors: EVANGELATOS, D. S., NICHOLSON, H.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Large scale systems
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Description
Summary:Results are presented on the structural zeros of the inverse matrix. Applications are given relating to the Lyapunov equation, eigenvectors, structural transfer functions, the reachability matrix of any function of a matrix, and input-output reachability.
ISSN:0020-7179
1366-5820
DOI:10.1080/0020718508961142