no. 1
Existence of optimal nonanticipating controls in piecewise deterministic control problems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 1, pp. 43-62.

Optimal nonanticipating controls are shown to exist in nonautonomous piecewise deterministic control problems with hard terminal restrictions. The assumptions needed are completely analogous to those needed to obtain optimal controls in deterministic control problems. The proof is based on well-known results on existence of deterministic optimal controls.

DOI : 10.1051/cocv/2011197
Classification : 93E20
Mots clés : piecewise deterministic problems, optimal controls, existence 
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     author = {Seierstad, Atle},
     title = {Existence of optimal nonanticipating controls in piecewise deterministic control problems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {43--62},
     publisher = {EDP-Sciences},
     volume = {19},
     number = {1},
     year = {2013},
     doi = {10.1051/cocv/2011197},
     mrnumber = {3023059},
     zbl = {1258.93128},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/cocv/2011197/}
}
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Seierstad, Atle. Existence of optimal nonanticipating controls in piecewise deterministic control problems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 1, pp. 43-62. doi : 10.1051/cocv/2011197. http://archive.numdam.org/articles/10.1051/cocv/2011197/

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