Optimal Control of Evolution Mixed Variational Inclusions

Journal Article · Sun Dec 15 00:00:00 EST 2013 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-013-9214-4· OSTI ID:22309134

Alduncin, Gonzalo ^[1]

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1. Universidad Nacional Autónoma de México, Departamento de Recursos Naturales, Instituto de Geofísica (Mexico)

Optimal control problems of primal and dual evolution mixed variational inclusions, in reflexive Banach spaces, are studied. The solvability analysis of the mixed state systems is established via duality principles. The optimality analysis is performed in terms of perturbation conjugate duality methods, and proximation penalty-duality algorithms to mixed optimality conditions are further presented. Applications to nonlinear diffusion constrained problems as well as quasistatic elastoviscoplastic bilateral contact problems exemplify the theory.

• OSTI ID: 22309134
• Journal Information: Applied Mathematics and Optimization, Vol. 68, Issue 3; Other Information: Copyright (c) 2013 Springer Science+Business Media New York; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
BANACH SPACE
DIFFUSION
DUALITY
MIXED STATES
NONLINEAR PROBLEMS
OPTIMAL CONTROL
VARIATIONAL METHODS