scholarly journals Characterization of efficient solutions for a class of PDE-constrained vector control problems

2020 ◽  
Vol 10 (1) ◽  
pp. 93-106 ◽  
Author(s):  
Savin Treanţă ◽  
Keyword(s):  
Vector Control ◽  
Efficient Solutions ◽  
Control Problems

scholarly journals Mixed-type duality for multiobjective fractional variational control problems

2005 ◽  
Vol 2005 (1) ◽  
pp. 109-124 ◽  
Author(s):  
Raman Patel
Keyword(s):  
Nonlinear Programming ◽  
Convex Functions ◽  
Mixed Type ◽  
Efficient Solutions ◽  
Control Problems ◽  
Duality Results ◽  
Finite Dimensional ◽  
Duality Relations ◽  
Mixed Type Duality ◽  
Convexity Assumptions

The concept of mixed-type duality has been extended to the class of multiobjective fractional variational control problems. A number of duality relations are proved to relate the efficient solutions of the primal and its mixed-type dual problems. The results are obtained forρ-convex (generalizedρ-convex) functions. The results generalize a number of duality results previously obtained for finite-dimensional nonlinear programming problems under various convexity assumptions.

Efficient solutions in V-KT-pseudoinvex multiobjective control problems: A characterization

2009 ◽  
Vol 215 (2) ◽  
pp. 441-448 ◽  
Author(s):  
Manuel Arana-Jiménez ◽  
Antonio Rufián-Lizana ◽  
Gabriel Ruiz-Garzón ◽  
Rafaela Osuna-Gómez
Keyword(s):  
Efficient Solutions ◽  
Control Problems ◽  
Multiobjective Control ◽  
Multiobjective Control Problems

scholarly journals ABOUT ONE APPROACH TO MODELING OF OPTIMAL CONTROL OF MULTIDIMENSIONAL COMPOSITE LINEAR SYSTEMS

2017 ◽  
Vol 19 (9.2) ◽  
pp. 184-190
Author(s):  
Y.N. Gorelov
Keyword(s):  
Optimal Control ◽  
Linear System ◽  
Vector Control ◽  
Linear Systems ◽  
Composite System ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Problem Of Moments ◽  
Partial Linear

The approach to the synthesis of optimal control of multidimensional composite linear system based on solutions of optimal control problems for inclusion in its structure of partial linear systems with scalar controls is considered. Control tasks are reduced to the problem of moments in the L\ space for minimum functionals of the norm type, on minimum maximal Ноlder norms level (with indicators 2 and то) for the vector control composite system.

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