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.
Polyhedral, Euler-Lagrange inclusion, second-order delay differential inclusions, transversality
SAĞLAM, SEVİLAY DEMİR and MAHMUDOV, ELİMHAN N.
"Polyhedral optimization of second-order discrete and differential inclusions with delay,"
Turkish Journal of Mathematics: Vol. 45:
1, Article 15.
Available at: https://journals.tubitak.gov.tr/math/vol45/iss1/15