On attraction and weak attraction for autonomous functional differential inclusions using multiple Lyapunov functionals (Q416998)
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scientific article; zbMATH DE number 6032843
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On attraction and weak attraction for autonomous functional differential inclusions using multiple Lyapunov functionals |
scientific article; zbMATH DE number 6032843 |
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On attraction and weak attraction for autonomous functional differential inclusions using multiple Lyapunov functionals (English)
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10 May 2012
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The author studies the invariance principle and questions of attraction using a collection of auxiliary invariantly differentiable Lyapunov-Krasovskii functionals for autonomous functional differential inclusions and extends to them some results which have been obtained for ordinary differential equations [\textit{V. M. Matrosov} and \textit{I. A. Finogenko}, J. Appl. Math. Mech. 62, No. 1, 95--102 (1998; Zbl 1007.70013); translation from Prikl. Mat. Mekh. 62, No. 1, 100-109 (1998)].
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functional differential inclusion
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Lyapunov-Krasovskiĭ functional
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attraction
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weak attraction
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