%0 Journal Article
%T A novel mixed-synchronization phenomenon in coupled Chua''s circuits via non-fragile linear control<br>
%A Wang Jun-Wei
%A Ma Qing-Hua
%A Zeng Li
%A <br>
%J 中国物理 B
%D 2011
%I 
%X 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.
%K mix-synchronization
%K Chua's circuit
%K non-fragile control
%K Lyapunov stability
%K linear matrix inequality<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=5591ADD4F9E70BC28521FC732D7AF325&yid=9377ED8094509821&vid=A04140E723CB732E&iid=5D311CA918CA9A03&sid=EE0A6A1C71639E1B&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=41