The Kalman-Yakubovich-Popov Lemma in a behavioural framework

DOI10.1016/S0167-6911(97)00084-4zbMath0902.93011OpenAlexW2139281846WikidataQ124884172 ScholiaQ124884172MaRDI QIDQ1128445

Robert van der Geest, Harry L. Trentelman

Publication date: 13 August 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(97)00084-4

zbMATH Keywords

linear matrix inequalitiesKalman-Yakubovich-Popov lemmatwo-variable polynomial matricesdissipative systems theorypolynomial spectral factorization

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Algebraic methods (93B25)

Related Items (4)

Checking dissipativity of linear behavior systems given in kernel representation ⋮ Extension of Kalman-Yakubovich-Popov lemma to descriptor systems ⋮ Discrete-time average positivity and spectral factorization in a behavioral framework. ⋮ Kalman–Yakubovich lemma in the behavioural setting

Cites Work

• Every storage function is a state function
• Fast projection methods for minimal design problems in linear system theory
• Paradigms and puzzles in the theory of dynamical systems
• Polynomial J-spectral factorization
• State Maps for Linear Systems

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