Optimal Control of Evolution Mixed Variational Inclusions

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 meth...

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Bibliographic Details
Published in:Applied mathematics & optimization Vol. 68; no. 3; pp. 445 - 473
Main Author: Alduncin, Gonzalo
Format: Journal Article
Language:English
Published: Boston Springer US 01.12.2013
Springer Nature B.V
Subjects:
ALGORITHMS
Applied mathematics
BANACH SPACE
Banach spaces
Boundary conditions
Calculus of Variations and Optimal Control; Optimization
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Conjugates
Contact
Control
DIFFUSION
DUALITY
Evolution
Hilbert space
Inclusions
Mathematical analysis
Mathematical and Computational Physics
Mathematical Methods in Physics
Mathematical models
Mathematics
Mathematics and Statistics
MIXED STATES
NONLINEAR PROBLEMS
Numerical and Computational Physics
OPTIMAL CONTROL
Optimization
Perturbation methods
Principles
Simulation
Studies
Systems Theory
Theorems
Theoretical
Values
VARIATIONAL METHODS
Constrained optimal control
Proximation penalty-duality algorithms
Perturbation conjugate duality methods
Evolution mixed variational inclusions
Duality principles
Composition duality methods
Set-valued variational analysis
ISSN:0095-4616, 1432-0606
Online Access:Get full text
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Summary: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.
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ISSN:0095-4616
1432-0606
DOI:10.1007/s00245-013-9214-4