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Lag Quasi-Synchronization of Coupled Delayed Systems With Parameter Mismatch

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4 Author(s)
Wangli He ; Key Lab. of Adv. Control & Optimization for Chem. Processes, East China Univ. of Sci. & Technol., Shanghai, China ; Feng Qian ; Qing-Long Han ; Jinde Cao

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.

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Circuits and Systems I: Regular Papers, IEEE Transactions on  (Volume:58 ,  Issue: 6 )