On the Kalman–Yakubovich–Popov lemma for discrete-time positive linear systems: a novel simple proof and some related results

DOI10.1080/00207179.2013.797106zbMath1312.93069OpenAlexW2000574487WikidataQ124981086 ScholiaQ124981086MaRDI QIDQ5252958

Federico Najson

Publication date: 3 June 2015

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2013.797106

zbMATH Keywords

linear systemslinear matrix inequalitiesKalman-Yakubovich-Popov lemmamatrix analysis

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Positive matrices and their generalizations; cones of matrices (15B48) Stability of control systems (93D99)

Related Items (6)

Extended dissipative filter design for discrete-time interconnected fuzzy systems with time-varying delays subject to cyber attacks ⋮ LMI approach to linear positive system analysis and synthesis ⋮ On the asymptotic hyperstability of linear time-invariant continuous-time systems under a class of controllers satisfying discrete-time Popov's inequality ⋮ Bounded real lemmas for positive descriptor systems ⋮ About a class of positive hybrid dynamic linear systems and an associate extended Kalman-Yakubovich-Popov lemma ⋮ Passive linear discrete-time systems: characterization through structure

Cites Work

• Unnamed Item
• On the Kalman-Yakubovich-Popov lemma
• Matrix Analysis
• Semidefinite programming duality and linear time-invariant systems
• The Bounded Real Lemma for Internally Positive Systems and H-Infinity Structured Static State Feedback

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