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Stratified discontinuous differential equations and sufficient conditions for robustness

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  • 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.
    Mathematics Subject Classification: Primary: 34A12, 34A36; Secondary: 34D10.


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