## Model reference control of hyperchaotic systems.(English)Zbl 1263.93178

Summary: We apply a famous engineering method, called model reference control, to control hyperchaos. We have proposed a general description of the hyperchaotic system and its reference system. By using the Lyapunov stability theorem, we obtain the expression of the controller. Four examples for both certain case and the uncertain case show that our method is very effective for controlling hyperchaotic systems with certain parameters and uncertain parameters.

### MSC:

 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory 34H10 Chaos control for problems involving ordinary differential equations

### Keywords:

model reference control; hyperchaos; Lyapunov stability
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### References:

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