Liu, Fucai; Song, Jiaqiu Anti-synchronizing different chaotic systems using active sliding mode control. (Chinese. English summary) Zbl 1174.37320 Acta Phys. Sin. 57, No. 8, 4729-4737 (2008). Summary: An active sliding mode control is designed to anti-synchronize different chaotic systems. The closed loop error dynamics depends on the linear part of the response systems and parameters of the controller. Therefore, the anti-synchronization rate can be adjusted through these parameters. Analysis of the stability for the proposed method is done based on the Lyapunov stability theorem. Finally, numerical results are presented for the Lorenz, Chen and Lü systems. This method may realize the anti-synchronization quickly, and the robust stability is good. Cited in 1 Document MSC: 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 93C10 Nonlinear systems in control theory 37M10 Time series analysis of dynamical systems 62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH) 93E20 Optimal stochastic control Keywords:chaos system; anti-synchronization; sliding mode control; active control PDFBibTeX XMLCite \textit{F. Liu} and \textit{J. Song}, Acta Phys. Sin. 57, No. 8, 4729--4737 (2008; Zbl 1174.37320)