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Tight bounds for averaging multi-frequency differential inclusions, applied to control systems - MaRDI portal

Tight bounds for averaging multi-frequency differential inclusions, applied to control systems (Q475364)

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Tight bounds for averaging multi-frequency differential inclusions, applied to control systems
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    Tight bounds for averaging multi-frequency differential inclusions, applied to control systems (English)
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    26 November 2014
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    The author presents new tight bounds for the averaging of differential inclusions and applies them to multi-frequency inclusions consisting of a sum of time periodic set-valued mappings. For this family of inclusions, the author establishes a tight estimate of order \(O(\varepsilon )\) on the approximation error. These results are then applied to control systems consisting of a sum of time-periodic functions.
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    averaging
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    differential inclusions
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    multi-frequency
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