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dc.creatorAzhmyakov V.
dc.creatorVerriest E.I.
dc.creatorGuzman Trujillo L.A.
dc.creatorLahaye S.
dc.creatorDelanoue N.
dc.descriptionOur contribution deals with a class of Optimal Control Problems (OCPs) of dynamic systems with randomly varying time delays. We study the minimax-type OCPs associated with a family of delayed differential equations. The presented minimax dynamic optimization has a natural interpretation as a robustness (in optimization) with respect to the possible delays in control system under consideration. A specific structure of a delayed model makes it possible to reduce the originally given sophisticated OCP to an equivalent convex program in an Euclidean space. This analytic transformation implies a possibility to derive the necessary and sufficient optimality conditions for the original OCP. Moreover, it also allows consideration of the wide range of effective numerical procedures for the constructive treatment of the obtained convex-like OCP. The concrete computational methodology we follow in this paper involves a gradient projected algorithm. We give a rigorous formal analysis of the proposed solution approach and establish the necessary numerical consistence properties of the resulting robust optimization algorithm. © 2018
dc.publisherElsevier B.V.
dc.titleRobust Optimal Control of Linear-Type Dynamic Systems with Random Delays
dc.publisher.facultyFacultad de Ciencias Básicasspa
dc.affiliationAzhmyakov, V., Department of Basic Sciences, Universidad de Medellin, Medellin, Colombia
dc.affiliationVerriest, E.I., School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332, United States
dc.affiliationGuzman Trujillo, L.A., Department of Basic Sciences, Universidad de Medellin, Medellin, Colombia, School for Engineers in Sciences and Technology, University of Angers, Angers, France
dc.affiliationLahaye, S., School for Engineers in Sciences and Technology, University of Angers, Angers, France
dc.affiliationDelanoue, N., School for Engineers in Sciences and Technology, University of Angers, Angers, France
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