First-order approximations for differential inclusions |
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| Authors: | Zvi Artstein |
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| Affiliation: | (1) Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100 Rehovot, Israel |
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| Abstract: | It is shown, under a mere continuity assumption, that the union of affine functions generated by the right-hand side of a differential inclusion, is a little oh approximation of the attainable set. Explicit estimates are given. An application to polygonal approximations is displayed.Research supported by a grant from the Basic Research Fund, The Israel Academy of Science and Humanities.Incumbent of the Hettie H. Heineman Professorial Chair in Mathematics. |
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| Keywords: | Primary 34A60 secondary 54C60 |
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