Existence results and optimality conditions of time optimal control problem

DEMİR SAĞLAM, SEVİLAY

doi:10.31801/cfsuasmas.1512521

Existence results and optimality conditions of time optimal control problem

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.74, sa.3, ss.355-363, 2025 (ESCI, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 74 Sayı: 3
Basım Tarihi: 2025
Doi Numarası: 10.31801/cfsuasmas.1512521
Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.355-363
İstanbul Üniversitesi Adresli: Evet

Özet

. The paper is concerned with the existence of theorems and optimality conditions for a timeoptimal control problem. The first aim deals with the existence theorem of an optimal solution for a time-optimal control problem in the calculus of variations. We prove the existence theorem utilizing a result on the existence of continuous maps from the space of absolutely continuous functions to the set of solutions to a differential inclusion with Lipschitzian right-hand side. The second goal is to formulate the optimality conditions for the time-optimal minimization problem. We examine necessary optimality conditions which play a significant role in finding candidates to be optimal solutions among all admissible solutions via the normal cones.