Distance estimates for state constrained trajectories of infinite dimensional differential inclusions
ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 3, pp. 1207-1229.

This paper concerns estimates on the distance between a trajectory of a differential inclusion and the set of feasible trajectories of the same inclusion, feasible meaning confined to a given set of constraints. We apply these estimates to investigate Lipschitz continuity of the value functions arising in optimal control, and to variational inclusions, useful for proving non degenerate necessary optimality conditions. The main feature of our analysis is the infinite dimensional framework, which can be applied to models involving PDEs.

DOI : 10.1051/cocv/2017032
Classification : 34A60, 35Q93, 46N20, 47J22, 47N70, 93C23
Mots-clés : Semilinear differential inclusion, state constraint, neighboring feasible trajectory theorem
Frankowska, Helene 1 ; Marchini, Elsa M. 1 ; Mazzola, Marco 1

1 
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     title = {Distance estimates for state constrained trajectories of infinite dimensional differential inclusions},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1207--1229},
     publisher = {EDP-Sciences},
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Frankowska, Helene; Marchini, Elsa M.; Mazzola, Marco. Distance estimates for state constrained trajectories of infinite dimensional differential inclusions. ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 3, pp. 1207-1229. doi : 10.1051/cocv/2017032. http://www.numdam.org/articles/10.1051/cocv/2017032/

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