Lag Quasi-Synchronization of Coupled Delayed Systems With Parameter Mismatch

Author

He, Wangli ; Qian, Feng ; Han, Qing-Long ; Cao, Jinde

Author_Institution

Key Lab. of Adv. Control & Optimization for Chem. Processes, East China Univ. of Sci. & Technol., Shanghai, China

Volume

58

Issue

6

fYear

2011

fDate

6/1/2011 12:00:00 AM

Firstpage

1345

Lastpage

1357

Abstract

This paper is concerned with lag synchronization of two coupled delayed systems with parameter mismatch. Due to parameter mismatch, complete lag synchronization can not be achieved. Therefore, a new lag quasi-synchronization scheme is proposed to ensure that coupled systems are in a state of lag synchronization with an error level. Several simple criteria are derived and the error level is estimated by applying a generalized Halanary inequality and matrix measure. Three examples are given to illustrate the effectiveness of the proposed lag quasi-synchronization scheme. It is shown that as the coupling strength increases, the estimated error level is close to the simulated one, which well supports theoretical results.

Keywords

chaos; coupled circuits; delay circuits; matrix algebra; oscillators; synchronisation; complete lag synchronization; coupled delayed systems; coupled systems; coupling strength; estimated error level; generalized Halanary inequality; lag quasi-synchronization scheme; matrix measure; parameter mismatch; Couplings; Delay; Delay effects; Linear matrix inequalities; Measurement uncertainty; Synchronization; Trajectory; Lag quasi-synchronization; chaotic systems; parameter mismatch;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2010.2096116

Filename

5678819