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

DOI10.1080/0020718508961142zbMath0555.93022OpenAlexW2077211297MaRDI QIDQ3220422

H. Nicholson, Dionyssis S. Evangelatos

Publication date: 1985

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020718508961142

zbMATH Keywords

structural zerosreachability matrixinput-output reachabilitystructural transfer functions

Mathematics Subject Classification ID

Controllability (93B05) Theory of matrix inversion and generalized inverses (15A09) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Directed graphs (digraphs), tournaments (05C20) Large-scale systems (93A15) Controllability, observability, and system structure (93B99)

Related Items (3)

Reachability matrix by partitioning and related Boolean results ⋮ Reachability matrix and relation to large-scale systems ⋮ Decomposition for augmented forms of large-scale systems

Cites Work

• Input-output analysis of large-scale interconnected systems. Decomposition, well-posedness and stability
• Structural zeros in the modal matrix and its inverse
• On reachability of dynamic systems†
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