Geodesic
Convex Optimization of Second Order Discrete and Differential Inclusions with Inequality Constraints
Journal of convex analysis, Tome 25 (2018) no. 1, pp. 293-318
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

The paper deals with a Bolza problem of optimal control theory given by second order convex differential inclusions (DFIs) with second order state variable inequality constraints (SVICs). The main problem is to derive sufficient conditions of optimality for second order DFIs with SVICs. According to the proposed discretization method, problems with discrete-approximation inclusions and inequalities are investigated. Necessary and sufficient conditions of optimality including distinctive "transversality" condition are proved in the form of Euler-Lagrange inclusions. Construction of Euler-Lagrange type adjoint inclusions is based on the presence of equivalence relations of locally adjoint mappings (LAMs). Moreover, in the application of these results, we consider the second order "linear" differential inclusions.
Classification : 49k24, 34A60, 34A40, 26D10
Mots-clés : Euler-Lagrange inclusions, adjoint mappings, set-valued, approximation, second order, transversality 
@article{JCA_2018_25_1_JCA_2018_25_1_a16,
     author = {E. N. Mahmudov},
     title = {Convex {Optimization} of {Second} {Order} {Discrete} and {Differential} {Inclusions} with {Inequality} {Constraints}},
     journal = {Journal of convex analysis},
     pages = {293--318},
     year = {2018},
     volume = {25},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_1_JCA_2018_25_1_a16/}
}
TY  - JOUR
AU  - E. N. Mahmudov
TI  - Convex Optimization of Second Order Discrete and Differential Inclusions with Inequality Constraints
JO  - Journal of convex analysis
PY  - 2018
SP  - 293
EP  - 318
VL  - 25
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JCA_2018_25_1_JCA_2018_25_1_a16/
ID  - JCA_2018_25_1_JCA_2018_25_1_a16
ER  - 
%0 Journal Article
%A E. N. Mahmudov
%T Convex Optimization of Second Order Discrete and Differential Inclusions with Inequality Constraints
%J Journal of convex analysis
%D 2018
%P 293-318
%V 25
%N 1
%U http://geodesic.mathdoc.fr/item/JCA_2018_25_1_JCA_2018_25_1_a16/
%F JCA_2018_25_1_JCA_2018_25_1_a16
E. N. Mahmudov. Convex Optimization of Second Order Discrete and Differential Inclusions with Inequality Constraints. Journal of convex analysis, Tome 25 (2018) no. 1, pp. 293-318. http://geodesic.mathdoc.fr/item/JCA_2018_25_1_JCA_2018_25_1_a16/