Demir Sağlam, SevilayMahmudov, Elimhan N.2024-07-122024-07-122021Demir Sağlam, S. ve Mahmudov, N. E. (2021). Optimization of Bolza problem for third-order polyhedral delay-differential inclusions with state constraints. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.978-0-7354-4078-4https://aip.scitation.org/doi/10.1063/5.0042177https://hdl.handle.net/20.500.12415/1976The present paper studies a Bolza problem of optimal control theory with third-order polyhedral delay-differential inclusions and state constraints. We aim to establish well verifiable sufficient conditions of optimality for the polyhedral thirdorder delay-differential inclusions. Discrete-approximate inclusions are investigated using the method of discretization to ensure the transition to a continuous problem. The idea for obtaining sufficient conditions of the problem is based on passing the formal limit on the optimality conditions of the discrete-approximation problem. Thus, the sufficient conditions are formulated by using polyhedral Euler-Lagrange inclusions and the distinctive “transversality” conditions.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessDelay-Differential inclusionPolyhedralTransversalityConference Object41