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Zbl 1245.65076
Zhang, Zhengqiang; Shen, Hao; Li, Junling
Adaptive stabilization of uncertain unified chaotic systems with nonlinear input. (English)
[J] Appl. Math. Comput. 218, No. 8, 4260-4267 (2011). ISSN 0096-3003

The authors consider the unified chaotic system described by the following set of differential equations $$\dot x= (25\alpha+ 10)(y- x),\quad \dot y= (28- 35\alpha)x+ (29\alpha- 1)y- xz,\quad \dot z= xy- {8+\alpha\over 3} z,$$ where $x$, $y$, $z$ are state variables and the system parameter $\alpha\in[0,1]$. -- A novel representation of nonlinear input function, that is, a linear input with bounded time-varying coefficient, is established.\par An adaptive control scheme is proposed based on the new nonlinear input model. Numerical simulations are performed to verify the analytical results.
[Hans Benker (Merseburg)]

MSC 2000:: *65K10 Optimization techniques (numerical methods)

Keywords: unified chaotic systems; adaptive feedback control; chaos control; chaos stabilization; input nonlinearity

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