Interconnection of Kronecker canonical form and special coordinate basis of multivariable linear systems

DOI10.1016/j.sysconle.2007.06.009zbMath1129.93007OpenAlexW2050609748MaRDI QIDQ2465778

Xinmin Liu, Zongli Lin, Chen, Ben M.

Publication date: 8 January 2008

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2007.06.009

zbMATH Keywords

singular systemsKronecker canonical formSmith formlinear systems theorysystem structural indices

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Canonical structure (93B10)

Cites Work

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• The computation of Kronecker's canonical form of a singular pencil
• An improved algorithm for the computation of Kronecker's canonical form of a singular pencil
• The computation of the Kronecker canonical form of an arbitrary symmetric pencil
• Global reduction to the Kronecker canonical form of a \(C^r\)-family of time-invariant linear systems
• Robust and \(H_\infty\) control
• Special coordinate basis for multivariable linear systems—finite and infinite zero structure, squaring down and decoupling
• The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part I
• The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part II
• On properties of the special coordinate basis of linear systems
• On the numerical computation of a structural decomposition in systems and control

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