A Complement on Elimination and Realization in Rational Representations

DOI10.1007/978-3-319-20988-3_10zbMath1403.93071OpenAlexW2303916031MaRDI QIDQ4558873

Tjerk Stegink, Sasanka V. Gottimukkala, Harry L. Trentelman

Publication date: 30 November 2018

Published in: Mathematical Control Theory I (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-20988-3_10

zbMATH Keywords

rational matrixpolynomial matrixrational representationoutput behaviorvariable representation

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Realizations from input-output data (93B15) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Rational representations and controller synthesis of \(\mathcal L_2\) behaviors
• Equivalence of rational representations of behaviors
• Rational representation of behaviors: Interconnectability and stabilizability
• Input-output and state-space representations of finite-dimensional linear time-invariant systems
• Realization and elimination in rational representations of behaviors
• Behaviors defined by rational functions
• A nine-fold canonical decomposition for linear systems
• Control theory for linear systems

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