Control and synchronization of chaos in RCL-shunted Josephson junctions

Author

Pingli Lu ; Ying Yang

Author_Institution

Sch. of Autom., Beijing Inst. of Technol., Beijing, China

fYear

2011

fDate

22-24 July 2011

Firstpage

694

Lastpage

698

Abstract

This paper is concerned with the problem of master-slave synchronization for RCL-shunted Josephson junctions using feedback control. Based on the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov (KYP) lemma, some new chaos synchronization criteria are obtained in the form of linear matrix inequalities(LMIs) which guarantees the stable synchronization of both master and slave RCL-shunted Josephson junctions. Finally, simulation results verified the applicability and validity of the proposed method.

Keywords

feedback; linear matrix inequalities; nonlinear control systems; superconducting junction devices; synchronisation; Kalman-Yakubovich-Popov lemma; LMI; RCL-shunted Josephson junctions; chaos synchronization criteria; feedback control; linear matrix inequalities; master-slave synchronization; pendulum-like nonlinear analytic theory; Chaos; Integrated circuits; Josephson junctions; Junctions; Linear matrix inequalities; Switches; Synchronization; Josephson junctions; Linear matrix inequality; Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6001336