Controllability and completion of partial upper triangular matrices over rings

DOI10.1016/0024-3795(92)90023-4zbMath0755.93009OpenAlexW1970325917MaRDI QIDQ1194515

Tamir Shalom, Leiba Rodman, Leonid Gurvits

Publication date: 27 September 1992

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90023-4

zbMATH Keywords

irreducibility

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05)

Related Items (13)

\(r\)-numbers completion problems of partial upper canonical form. I ⋮ On the eigenvalues of matrices with prescribed upper triangular part ⋮ Completions of partial Jordan and Hessenberg matrices ⋮ On a conjecture about the Jordan form of completions of partial upper triangular matrices ⋮ Jordan structures of strictly lower triangular completions of nilpotent matrices ⋮ The power and Arnoldi methods in an algebra of circulants ⋮ On controllability of partially prescribed matrices ⋮ Non-commutative stochastic distributions and applications to linear systems theory ⋮ On the Jordan form of completions of partial upper triangular matrices ⋮ On the eigenvalues of matrices with prescribed upper triangular part ⋮ Controllability by completions of partial upper triangular matrices ⋮ Controllability completion problems of partial upper triangular matrices^∗ ⋮ \(r\)-numbers completion problems of partial upper canonical form. II

Cites Work

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• Pole shifting for families of linear systems depending on at most three parameters
• On the eigenvalues of matrices with given upper triangular part
• Symmetric systems with semi-simple structure algebra: The quaternionic case
• Jordan forms of completions of partial upper triangular matrices
• On finitely accessible and finitely observable rings
• Controllability by completions of partial upper triangular matrices
• Symmetric systems: structure of the state space
• On linear systems and noncommutative rings

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