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Synchronization of unified chaotic system based on passive control. (English) Zbl 1119.34332
The paper studies the following control problem: Find a control function $u=u(x,y)$ such that two systems $x'=f(x)$ and $y'=f(y)+u$, where $x,y \in \bbfR^3$ are synchronized, i.e. $\Vert x(t,x_0)-y(t,y_0)\Vert \to 0$ for any initial conditions $x_0 = x(0,x_0)$ and $y_0=y(0,y_0)$. The function $f$ is chosen to correspond to the so called unified chaotic system, although chaos is not a matter of the paper.

34H05ODE in connection with control problems
34D05Asymptotic stability of ODE
Full Text: DOI
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