Estimation for the region of attraction of nonlinear difference equations (Q1849668)
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scientific article; zbMATH DE number 1837369
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimation for the region of attraction of nonlinear difference equations |
scientific article; zbMATH DE number 1837369 |
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Estimation for the region of attraction of nonlinear difference equations (English)
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1 December 2002
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The authors consider a system \(x(n+1)=Ax(n)+\varphi(x(n))\) of difference equations, where \(A\) is a square matrix and \(\varphi\) is continuous, \(\varphi(0)=0\). The main results of the paper are devoted to obtain some estimations for the region of attraction and the speed of convergence to the trivial solution.
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nonlinear difference equations
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asymptotic stability
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region of attraction
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convergence
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