Geodesic
Optimal control of differential inclusions, I:~Lipschitzian case
The Bulletin of Irkutsk State University. Series Mathematics, Tome 30 (2019), pp. 45-58

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We develop the method of discrete approximations to study optimal control problems for differential inclusions by using advanced tools of variational analysis and generalized differentiation. The first part describes the method, appropriate machinery of variational analysis and then presents the main result on necessary optimality conditions in maximum principle form for Lipschitzian differential inclusions.
Keywords: optimal control, Lipschitzian differential inclusions, variational analysis, discrete approximations, generalized differentiation. 
@article{IIGUM_2019_30_a3,
     author = {B. S. Mordukhovich},
     title = {Optimal control of differential inclusions, {I:~Lipschitzian} case},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {45--58},
     publisher = {mathdoc},
     volume = {30},
     year = {2019},
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     url = {http://geodesic.mathdoc.fr/item/IIGUM_2019_30_a3/}
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B. S. Mordukhovich. Optimal control of differential inclusions, I:~Lipschitzian case. The Bulletin of Irkutsk State University. Series Mathematics, Tome 30 (2019), pp. 45-58. http://geodesic.mathdoc.fr/item/IIGUM_2019_30_a3/