LMI representation of the shifted Popov criterion

DOI10.1016/S0005-1098(99)00190-9zbMath0981.93056OpenAlexW2055246593MaRDI QIDQ1974012

Yuji Kakutani, Tomomichi Hagiwara, Mituhiko Araki

Publication date: 8 May 2000

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(99)00190-9

zbMATH Keywords

stabilitylinear matrix inequalityLyapunov stabilityinput-output stabilitynonlinear feedback systemsshifted Popov criterion

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Popov-type stability of feedback systems (93D10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Input-output approaches in control theory (93D25)

Related Items (2)

Robust stability and performance analysis based on integral quadratic constraints ⋮ Absolute stabilization related to circle criterion: An LMI-based approach

Cites Work

• Unnamed Item
• On the Kalman-Yakubovich-Popov lemma
• Linear Matrix Inequalities in System and Control Theory
• System analysis via integral quadratic constraints
• Robustness under bounded uncertainty with phase information
• Stability condition of a class of nonlinear feedback systems: reduction to a convex problem

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