scholarly journals THE EXISTENCE RESULTS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY QUASI-VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES

2012 ◽  
Vol 16 (4) ◽  
pp. 1221-1243 ◽  
Author(s):  
Zhong-bao Wang ◽  
Nan-jing Huang ◽  
Ching-Feng Wen
Keyword(s):  
Optimal Control ◽  
Variational Inequalities ◽  
Banach Spaces ◽  
Optimal Control Problems ◽  
Existence Results ◽  
Control Problems ◽  
Reflexive Banach Spaces

scholarly journals Optimal Control of Evolution Macro-Hybrid Mixed Variational Inclusions

2017 ◽  
Vol 9 (6) ◽  
pp. 124 ◽  
Author(s):  
Gonzalo Alduncin
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Conjugate Duality ◽  
Control Problems ◽  
Reflexive Banach Spaces ◽  
Duality Method ◽  
Constrained Problems ◽  
Primal And Dual ◽  
Dual Evolution ◽  
Appl Math

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.

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