On the \(m\)-dimensional Cayley-Hamilton theorem and its application to an algebraic decision problem inferred from the \(\mathcal{H}_2\) norm analysis of delay systems

DOI10.1016/J.AUTOMATICA.2019.108761zbMath1440.93142OpenAlexW2997392499MaRDI QIDQ2173935

Marco A. Gomez, Raphaël M. Jungers, Wim Michiels

Publication date: 17 April 2020

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2019.108761

zbMATH Keywords

Cayley-Hamilton theoremtime-delay systems\(\mathcal{H}_2\) normdecision problem on semigroup of matrices

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Linear systems in control theory (93C05) Delay control/observation systems (93C43)

Related Items (3)

On the Strong Relative Degree of Time-Delay Systems with Noncommensurate Delays ⋮ An improved finiteness test and a systematic procedure to compute the strong \(\mathscr{H}_2\) norm of differential algebraic systems with multiple delays ⋮ Design of structured controllers for linear time-delay systems

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