| A novel mixed-synchronization phenomenon in coupled Chua’s circuits via non-fragile linear control |
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| 引用本文： | 王军威,马庆华,曾丽.A novel mixed-synchronization phenomenon in coupled Chua’s circuits via non-fragile linear control[J].中国物理 B,2011,20(8):80506-080506. |
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| 作者姓名： | 王军威 马庆华 曾丽 |
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| 作者单位： | Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510006, China |
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| 基金项目： | Project supported by the Foundation for Distinguished Young Talents in Higher Education of Guangdong Province of China
(Grant No. LYM10074) and the Natural Science Foundation of Guangdong Province, China (Grant No. 9451042001004076). |
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| 摘 要： | 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.
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| 关 键 词： | mix-synchronization Chua’s circuit non-fragile control Lyapunov stability linear ma-trix inequality |
| 收稿时间： | 2/8/2011 12:00:00 AM |
A novel mixed-synchronization phenomenon in coupled Chua's circuits via non-fragile linear control |
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| Wang Jun-Wei,Ma Qing-Hua and Zeng Li.A novel mixed-synchronization phenomenon in coupled Chua's circuits via non-fragile linear control[J].Chinese Physics B,2011,20(8):80506-080506. |
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| Authors: | Wang Jun-Wei Ma Qing-Hua and Zeng Li |
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| Institution: | Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510006, China |
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| Abstract: | 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. |
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| Keywords: | mix-synchronization Chua's circuit non-fragile control Lyapunov stability linear matrix inequality |
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