Optimal Control of Evolution Macro-Hybrid Mixed Variational Inclusions

Gonzalo Alduncin

Journal of Mathematics Research, 2017, vol. 9, issue 6, 124-143

Abstract: Optimal control problems governed by primal and dual evolution macro-hybrid mixed variational state inclusions, in reflexive Banach spaces, are studied. This is a spatially localized macro-hybrid variational version of our mixed optimal control theory published in Appl. Math. Optim. 68, 2013, 445-473, where the solvability analysis of the state systems is given in terms of duality principles, and the mixed optimality analysis is performed via a perturbation conjugate duality method. Applications to nonlinear constrained problems from mechanics exemplify the theory.

Keywords: constrained optimal control; evolution macro-hybrid mixed variational inclusion; duality principle; composition duality method; perturbation conjugate duality method; set-valued variational analysis (search for similar items in EconPapers)
Date: 2017
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