Huang, He; Feng, Gang; Cao, Jinde Exponential synchronization of chaotic Lur’e systems with delayed feedback control. (English) Zbl 1176.70034 Nonlinear Dyn. 57, No. 3, 441-453 (2009). 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. Cited in 13 Documents MSC: 70Q05 Control of mechanical systems 70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics 93B52 Feedback control Keywords:exponential synchronization; chaotic systems; augmented Lyapunov functional; integral inequalities; time delay; linear matrix inequalities Software:LMI toolbox PDFBibTeX XMLCite \textit{H. Huang} et al., Nonlinear Dyn. 57, No. 3, 441--453 (2009; Zbl 1176.70034) Full Text: DOI References: [1] Pecora, L.M., Carroll, T.L.: Synchronization in chaotic systems. Phys. Rev. Lett. 64, 821–824 (1990) · Zbl 0938.37019 · doi:10.1103/PhysRevLett.64.821 [2] Pikovsky, A., Rosenblum, M., Kurths, J.: Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge University Press, Cambridge (2001) · Zbl 0993.37002 [3] Almeida, D.I.R., Alvarez, J.: Robust synchronization of nonlinear SISO systems using sliding mode control. 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