Design of controller for Lur'e systems guaranteeing dichotomy

DOI10.1016/j.amc.2011.03.094zbMath1225.93050OpenAlexW2002653817MaRDI QIDQ547944

Ao Dun, Lin Huang, Zhi-Yong Geng

Publication date: 27 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.094

zbMATH Keywords

dichotomyLur'e systemdynamic feedback controllerKYP (Kalman-Yakubovich-Popov) lemmaLMI (linear matrix inequality)

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Design techniques (robust design, computer-aided design, etc.) (93B51) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Synchronization of Lurie system based on contraction analysis

Cites Work

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• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• On the Kalman-Yakubovich-Popov lemma
• Design of controller for a class of pendulum-like system guaranteeing dichotomy
• Attraction/repulsion functions in a new class of chaotic systems
• A DYNAMICAL SYSTEMS APPROACH TO MEMBRANE PHENOMENA UNDERLYING CARDIAC ARRHYTHMIAS
• MULTI-INPUT AND MULTI-OUTPUT NONLINEAR SYSTEMS: INTERCONNECTED CHUA'S CIRCUITS
• Fast parallel-frequency-sweeping algorithms for robust D-stability margin

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