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- W2037380981 abstract "The paper deals with solutions of a differential inclusion x˙∈F(x) constrained to a compact convex set Ω. Here F is a compact, possibly non-convex valued, Lipschitz continuous multifunction, whose convex closure co F satisfies a strict inward pointing condition at every boundary point x∈∂Ω. Given a reference trajectory x⁎(⋅) taking values in an ε-neighborhood of Ω, we prove the existence of a second trajectory x:[0,T]↦Ω which satisfies ‖x−x⁎‖W1,1⩽Cε(1+|lnε|). As shown by an earlier counterexample, this bound is sharp." @default.
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- W2037380981 date "2011-02-01" @default.
- W2037380981 modified "2023-09-27" @default.
- W2037380981 title "Trajectories of differential inclusions with state constraints" @default.
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- W2037380981 doi "https://doi.org/10.1016/j.jde.2010.12.021" @default.
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