Dynamical variables of coupled nonlinear oscillators can exhibit different synchronization patterns depending on the designed coupling scheme. In this paper, a non-fragile linear feedback control strategy with multiplicative controller gain uncertainties is proposed for realizing the mixed-synchronization of Chua＇s circuits connected in a drive-response configuration. In particular, in the mixed-synchronization regime, different state variables of the response system can evolve into complete synchronization, anti-synchronization and even amplitude death simultaneously with the drive variables for an appropriate choice of scaling matrix. Using Lyapunov stability theory, we derive some sufficient criteria for achieving global mixed-synchronization. It is shown that the desired non-fragile state feedback controller can be constructed by solving a set of linear matrix inequalities （LMIs）. Numerical simulations are also provided to demonstrate the effectiveness of the proposed control approach.
＜正＞In this paper,we construct a new mathematical model by incorporating both transcriptional/ translational fe...
WANG Junwei~1,CHEN Aimin~(2,3) 1.School of Informatics,Guangdong University of Foreign Studies,Guangzhou 510006,P.R.China 2.Institute of Applied Mathematics,Henan University,Kaifeng 475004,P.R.China 3.School of Mathematics and Information Science,Henan University,Kaifeng 475004,P.R.China
