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Journal Articles Discrete and Continuous Dynamical Systems - Series A Year : 2015

Stratified discontinuous differential equations and sufficient conditions for robustness

Abstract

This paper is concerned with state-constrained discontinuous ordinary differential equations for which the corresponding vector field has a set of singularities that forms a stratification of the state domain. Existence of solutions and robustness with respect to external perturbations of the righthand term are investigated. Moreover, notions of regularity for stratifications are discussed.
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Dates and versions

hal-00955927 , version 1 (05-03-2014)

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Cristopher Hermosilla. Stratified discontinuous differential equations and sufficient conditions for robustness. Discrete and Continuous Dynamical Systems - Series A, 2015, 35 (9), pp.23. ⟨10.3934/dcds.2015.35.4415⟩. ⟨hal-00955927⟩
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