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- W2152564765 abstract "Abstract The reachable sets of a differential inclusion have nonsmooth topological boundaries in general. The main result of this paper is that under the well-known assumptions of Filippov’s existence theorem (about solutions of differential inclusions), every epi-Lipschitzian initial compact set K ⊂ R N preserves this regularity for a short time, i.e. ϑ F ( t , K ) is also epi-Lipschitzian for all small t > 0 . The proof is based on Rockafellar’s geometric characterization of epi-Lipschitzian sets and uses a new result about the “inner semicontinuity” of Clarke tangent cone ( t , y ) ↦ T ϑ F ( t , K ) C ( y ) ⊂ R N with respect to both arguments." @default.
- W2152564765 created "2016-06-24" @default.
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- W2152564765 date "2008-09-01" @default.
- W2152564765 modified "2023-09-23" @default.
- W2152564765 title "Epi-Lipschitzian reachable sets of differential inclusions" @default.
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- W2152564765 doi "https://doi.org/10.1016/j.sysconle.2008.01.007" @default.
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