Pairs of \(k\)-step reachability and \(m\)-step observability matrices

DOI10.2478/spma-2013-0005zbMath1291.15003arXiv1309.3209OpenAlexW2963757300MaRDI QIDQ2017187

Augusto Ferrante, Harald K. Wimmer

Publication date: 25 June 2014

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3209

zbMATH Keywords

generalized inversescommon solutionsobservability matrixreachability matrix

Mathematics Subject Classification ID

Controllability (93B05) Theory of matrix inversion and generalized inverses (15A09) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

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• Minimal state-space realization in linear system theory: An overview
• Generalized inverses. Theory and applications.
• A Transfer-Function Approach to Linear Time-Varying Discrete-Time Systems
• Reachability matrices and cyclic matrices

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