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SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Venerdì 5 aprile 2013 alle ore 13:00 esatte in aula 2BC30, Cristopher Hermosilla (INRIA Saclay, Parigi) terrà un seminario dal titolo "Stratified ODEs and Necessary Conditions For Robustness".
We study a special class of discontinuous differential equation where the singularities have a stratified structure. Particularly, we study some notions of robustness of the solutions and we give some condition to obtain it. This type of equation appears when considering Optimal Control or Stabilization problems with or without state-constraints for classical or discontinuous dynamics. More precisely, it appears in the feedback synthesis from the value function. The main motivation for introducing this type of ODEs relies on some recent works about optimal control problems with state-constraint domain that admits from the very beginning a stratified decomposition.
Rif. Int. M. Bardi, C. Marchi, F. Ancona