Abstract
We consider a stepwise optimal control problem described by a set of nonlinear difference and integrodifferential equations of Volterra type with initial Cauchy conditions and a general nonlinear functional of Boltza type. Control areas are considered to be convex bounded sets. A formula for the second-order increment of the quality functional is constructed. Under certain assumptions, special partial increments of the functional are calculated and, with their making use, an analogue of the linearized maximum condition is proved. In the case of degeneration (quasispecial case) of the linearized maximum condition, a number of necessary conditions for the optimality of quasispecial controls are derived.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitel'naya tekhnika i informatika
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
