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Optimal Control of Evolution Macro-Hybrid Mixed Variational Inclusions

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  • Gonzalo Alduncin

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.

Suggested Citation

  • Gonzalo Alduncin, 2017. "Optimal Control of Evolution Macro-Hybrid Mixed Variational Inclusions," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(6), pages 124-143, December.
    • Handle: RePEc:ibn:jmrjnl:v:9:y:2017:i:6:p:124
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    Keywords

    constrained optimal control; evolution macro-hybrid mixed variational inclusion; duality principle; composition duality method; perturbation conjugate duality method; set-valued variational analysis;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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