The Fenchel duality, \(S\)-procedure, and the Yakubovich-Kalman lemma

DOI10.1134/S0005117906020081zbMath1126.93404OpenAlexW2016966962WikidataQ124960892 ScholiaQ124960892MaRDI QIDQ2457510

Sergei V. Gusev

Publication date: 23 October 2007

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117906020081

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Duality theory (optimization) (49N15)

Related Items (3)

Controllability conditions of linear singularly perturbed systems with small state and input delays ⋮ Kalman-Yakubovich-Popov lemma for matrix frequency domain inequality ⋮ Kalman-Popov-Yakubovich lemma for ordered fields

Uses Software

• LMI toolbox

Cites Work

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• A frequency theorem in control theory
• On the Kalman-Yakubovich-Popov lemma
• Convexity of quadratic transformations and its use in control and optimization
• Duality theorems for certain nonconvex extremal problems
• On interconnections, control, and feedback
• LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
• Generalized KYP lemma: unified frequency domain inequalities with design applications
• Convex Analysis

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