Kalman-Yakubovich-Popov lemma for matrix frequency domain inequality

DOI10.1016/j.sysconle.2009.02.011zbMath1166.93016OpenAlexW2009227227WikidataQ124842475 ScholiaQ124842475MaRDI QIDQ2390524

Sergei V. Gusev

Publication date: 23 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2009.02.011

zbMATH Keywords

LMIfrequency domain inequalityLur'e equationKYP Lemma

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Popov-type stability of feedback systems (93D10) Robust stability (93D09)

Related Items (4)

Frequency-domain L 2-stability conditions for time-varying linear and nonlinear MIMO systems ⋮ Robust and nonlinear control literature survey (No. 14) ⋮ SDP-based approximation of stabilising solutions for periodic matrix Riccati differential equations ⋮ Kalman-Popov-Yakubovich lemma for ordered fields

Cites Work

• Unnamed Item
• Unnamed Item
• The structure of semidefinite solutions of homogeneous generalized Lyapunov equation and the frequency theorem in Hilbertian space
• Kalman-Popov-Yakubovich Lemma and the \(S\)-procedure: a historical essay
• On the Kalman-Yakubovich-Popov lemma
• The Fenchel duality, \(S\)-procedure, and the Yakubovich-Kalman lemma
• LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
• Generalized KYP lemma: unified frequency domain inequalities with design applications
• Generalized \(S\)-procedure and finite frequency KYP lemma

This page was built for publication: Kalman-Yakubovich-Popov lemma for matrix frequency domain inequality