Turkish Journal of Mathematics
Article Title
Polyhedral optimization of second-order discrete and differential inclusions with delay
DOI
10.3906/mat-2005-50
Abstract
he present paper studies the optimal control theory of second-order polyhedral delay discrete and delay differential inclusions with state constraints. We formulate the conditions of optimality for the problems with the second-order polyhedral delay discrete $(PD_d)$ and the delay differential $(PC_d)$ in terms of the Euler-Lagrange inclusions and the distinctive ''transversality'' conditions. Moreover, some linear control problem with second-order delay differential inclusions is given to illustrate the effectiveness and usefulness of the main theoretic results.
Keywords
Polyhedral, Euler-Lagrange inclusion, second-order delay differential inclusions, transversality
First Page
244
Last Page
263
Recommended Citation
SAĞLAM, SEVİLAY DEMİR and MAHMUDOV, ELİMHAN N.
(2021)
"Polyhedral optimization of second-order discrete and differential inclusions with delay,"
Turkish Journal of Mathematics: Vol. 45:
No.
1, Article 15.
https://doi.org/10.3906/mat-2005-50
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss1/15
