A Kalman-Yakubovich-Popov-type lemma for systems with certain state-dependent constraints

DOI10.1016/j.automatica.2011.06.016zbMath1229.93102OpenAlexW2090042948WikidataQ124809380 ScholiaQ124809380MaRDI QIDQ644291

Robert N. Shorten, Wynita M. Griggs, Christopher K. King

Publication date: 3 November 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.06.016

zbMATH Keywords

Lyapunov functionnonlinear systemslinear matrix inequalityconvex coneswitched systemsKalman-Yakubovich-Popov lemmastate spacefrequency domain inequalitystate-dependent constraints

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (2)

An extension of the KYP-lemma for the design of state-dependent switching systems with uncertainty ⋮ Quadratic Lyapunov functions for systems with state-dependent switching

Cites Work

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• On time-domain multiplier criteria for single-input single-output systems
• Generalized KYP lemma: unified frequency domain inequalities with design applications
• A Survey of the S-Lemma

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