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Adaptive stabilization of uncertain unified chaotic systems with nonlinear input. (English) Zbl 1245.65076

The authors consider the unified chaotic system described by the following set of differential equations

x ˙=(25α+10)(y-x),y ˙=(28-35α)x+(29α-1)y-xz,z ˙=xy-8+α 3z,

where x, y, z are state variables and the system parameter α[0,1]. – A novel representation of nonlinear input function, that is, a linear input with bounded time-varying coefficient, is established.

An adaptive control scheme is proposed based on the new nonlinear input model. Numerical simulations are performed to verify the analytical results.

MSC:
65K10Optimization techniques (numerical methods)
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