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Estimation of unknown parameters and adaptive anti-synchronization of quadratic autonomous chaos systems via a scale controller. (Chinese. English summary) Zbl 1240.93185

Summary: Based on Lyapunov stability theory, a simple adaptive scalar controller is designed to realize the anti-synchronization of 3-D quadratic autonomous systems with known or unknown parameters. Furthermore, all the unknown parameters can be estimated dynamically from the time series of the drive and response systems. Numerical simulations show the effectiveness and feasibility of the proposed method.

MSC:

93C40 Adaptive control/observation systems
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior