Global asymptotical synchronisation in linearly coupled networks of RCL-shunted Josephson junctions

DOI10.1080/00207170903171322zbMath1184.93107OpenAlexW2013948314MaRDI QIDQ3550799

Pingli Lu, Ying Yang

Publication date: 6 April 2010

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170903171322

zbMATH Keywords

linear matrix inequalityJosephson junctionssynchronisationglobally asymptotically stable

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15) Chaos control for problems involving ordinary differential equations (34H10)

Uses Software

• LMI toolbox

Cites Work

• A computer-assisted proof of chaos in Josephson junctions
• Cycles of the second kind for uncertain pendulum-like systems with several nonlinearities
• 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
• \(H_{\infty }\) controller synthesis for pendulum-like systems
• Input and output coupled nonlinear systems
• Semidefinite programming duality and linear time-invariant systems
• Synchronization in scale-free dynamical networks: robustness and fragility

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