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Exponential synchronization of chaotic Lur’e systems with delayed feedback control. (English) Zbl 1176.70034
Summary: The exponential synchronization problem is studied in this paper for a class of chaotic Lur’e systems by using delayed feedback control. An augmented Lyapunov functional based approach is proposed to deal with this issue. A delay-dependent condition is established such that the controlled slave system can exponentially synchronize with the master system. It is shown that the delayed feedback gain matrix and the exponential decay rate can be obtained by solving a set of linear matrix inequalities. The decay coefficient can be also easily calculated. Finally, as an example, the Chua’s circuit is used to illustrate the effectiveness of the developed approach and the improvement over some existing results.
MSC:
70Q05Control of mechanical systems (general mechanics)
70K55Transition to stochasticity (chaotic behavior)
93B52Feedback control
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