Polyhedral optimization of second-order discrete and differential inclusions with delay

Authors

SEVİLAY DEMİR SAĞLAM
ELİMHAN N. MAHMUDOV

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.

DOI

10.3906/mat-2005-50

Keywords

Polyhedral, Euler-Lagrange inclusion, second-order delay differential inclusions, transversality

First Page

244

Last Page

263

Recommended Citation

SAĞLAM, S. D, & MAHMUDOV, E. N (2021). Polyhedral optimization of second-order discrete and differential inclusions with delay. Turkish Journal of Mathematics 45 (1): 244-263. https://doi.org/10.3906/mat-2005-50