Variationally stable difference systems (Q5933419)

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scientific article; zbMATH DE number 1598977
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Variationally stable difference systems
scientific article; zbMATH DE number 1598977

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    Variationally stable difference systems (English)
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    2 January 2002
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    Lyapunov functions
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    perturbations
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    \(h\)-stability
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    nonlinear difference systems
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    The authors derive \(h\)-stability conditions (defined in the paper) for nonlinear difference systems NEWLINE\[NEWLINEx(n+1)=f(n,x(n))NEWLINE\]NEWLINE and their perturbed difference systems NEWLINE\[NEWLINEy(n+1)=f(n,y(n))+g(n,y(n)),NEWLINE\]NEWLINE where \(x(n)\) and \(y(n)\) are appropriately defined in the paper.
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