Tight Bounds for Averaging Multi-Frequency Differential Inclusions,Applied to Control Systems |
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Authors: | Ido Bright |
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Affiliation: | 1. Department of Applied Mathematics, University of Washington, Seattle, Washington, USA
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Abstract: | We present new tight bounds for averaging differential inclusions, which we apply to multi-frequency inclusions consisting of a sum of time periodic set-valued mappings. For this family of inclusions we establish a tight estimate of order O (??) on the approximation error. These results are then applied to control systems consisting of a sum of time-periodic functions. |
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