Remarks on a LaSalle conjecture on global asymptotic stability (Q2802025)
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scientific article; zbMATH DE number 6572778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on a LaSalle conjecture on global asymptotic stability |
scientific article; zbMATH DE number 6572778 |
Statements
22 April 2016
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Banach space
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differentiable nonlinear operator
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fixed point
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iterate
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spectral radius
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global asymptotic stability
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Picard operator
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Lasalle conjecture
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Belitskij-Lyubich conjecture
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discrete Markus-Yamabe conjecture
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Ostrowski property
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stability under operator perturbations
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0.9084397
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0.90691155
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0.89753985
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0.89553297
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0.89371526
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Remarks on a LaSalle conjecture on global asymptotic stability (English)
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In this interesting survey, the author discusses the \textit{J. P. Lasalle} conjecture [The stability of dynamical systems. SIAM, Society for Industrial and Applied Mathematics. 76 p. (1976; Zbl 0364.93002)] and the \textit{G. R. Belitskij} and \textit{Yu. I. Lyubich} conjecture [Matrix norms and their applications. Birkhäuser Verlag. viii, 209 p. (1988; Zbl 0645.15019)], referring to so-called Picard operators in Banach spaces.
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