caa a22 4500 606233202 CHVBK 20210128101231.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10883-014-9215-x doi (NATIONALLICENCE)springer-10.1007/s10883-014-9215-x Optimization of Neutral Functional-Differential Inclusions [Elektronische Daten] [Elimhan Mahmudov, Dilara Mastaliyeva] A Bolza problem of optimal control theory with a varying time interval given by convex, nonconvex functional-differential inclusions (P N ), (P V ) is considered. Our main goal is to derive sufficient optimality conditions for neutral functional-differential inclusions, which contain time delays in both state and velocity variables. Both state and endpoint constraints are involved. Presence of constraint conditions implies jump conditions for conjugate variable which are typical for such problems. Sufficient conditions under the t 1-transversality condition are proved incorporating the Euler-Lagrange- and Hamiltonian-type inclusions. As supplementary problems with discrete and discrete approximation inclusions (P D ), (P DA ) are considered and necessary, and sufficient conditions are given. The basic concept of obtaining optimality conditions is locally adjoint mappings and especially proved equivalence theorems. Furthermore, the application of these results is demonstrated by solving some illustrative examples. Springer Science+Business Media New York, 2014 Discrete nationallicence Differential nationallicence Inclusion nationallicence Neutral nationallicence Hamiltonian nationallicence Locally adjoint multifunction nationallicence Transversality nationallicence Mahmudov Elimhan Industrial Engineering Department, Faculty of Management, Istanbul Technical University, 34367, Macka-İstanbul, Turkey aut Mastaliyeva Dilara Institute of Cybernetics, Azerbaijan National Academy of Sciences, 9 B.Vahabzade str., AZ1141, Baku, Azerbaijan aut Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/1(2015-01-01), 25-46 1079-2724 21:1<25 2015 21 10883 https://doi.org/10.1007/s10883-014-9215-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10883-014-9215-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mahmudov Elimhan Industrial Engineering Department, Faculty of Management, Istanbul Technical University, 34367, Macka-İstanbul, Turkey aut NATIONALLICENCE 700 1- Mastaliyeva Dilara Institute of Cybernetics, Azerbaijan National Academy of Sciences, 9 B.Vahabzade str., AZ1141, Baku, Azerbaijan aut NATIONALLICENCE 773 0- Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/1(2015-01-01), 25-46 1079-2724 21:1<25 2015 21 10883