Results 11 to 20 of about 10,869 (265)

An optimal control problem for the systems with integral boundary conditions [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
In this paper, we consider an optimal control problem with a «pure», integral boundary condition. The Green’s function is constructed. Using contracting Banach mappings, a sufficient condition for the existence and uniqueness of a solution to ...
M.J. Mardanov, Y.A. Sharifov
doaj   +3 more sources

On Necessary Optimality Conditions for Discrete Control Systems

Известия Иркутского государственного университета: Серия "Математика", 2020
In this article, under weakened assumptions, we study high-order necessary optimality conditions for discrete optimal control problems with the free right end of the trajectory.
M. J. Mardanov, T. K. Melikov
doaj   +1 more source

Mond-Weir and Wolfe Duality of Set-Valued Fractional Minimax Problems in Terms of Contingent Epi-Derivative of Second-Order

Mathematics, 2022
This paper is devoted to provide sufficient Karush Kuhn Tucker (in short, KKT) conditions of optimality of second-order for a set-valued fractional minimax problem.
Koushik Das, Savin Treanţă, Tareq Saeed   +2 more
doaj   +1 more source

Second-Order Optimality Conditions for Nonconvex Set-Constrained Optimization Problems [PDF]

Mathematics of Operations Research, 2022
In this paper, we study second-order optimality conditions for nonconvex set-constrained optimization problems. For a convex set-constrained optimization problem, it is well known that second-order optimality conditions involve the support function of the second-order tangent set.
Helmut Gfrerer, Jane J. Ye, Jinchuan Zhou   +2 more
openaire   +2 more sources

Optimality Conditions for Group Sparse Constrained Optimization Problems

Mathematics, 2021
In this paper, optimality conditions for the group sparse constrained optimization (GSCO) problems are studied. Firstly, the equivalent characterizations of Bouligand tangent cone, Clarke tangent cone and their corresponding normal cones of the group ...
Wenying Wu, Dingtao Peng
doaj   +1 more source

A Smoothing Method for Sparse Programs by Symmetric Cone Constrained Generalized Equations

Mathematics, 2023
In this paper, we consider a sparse program with symmetric cone constrained parameterized generalized equations (SPSCC). Such a problem is a symmetric cone analogue with vector optimization, and we aim to provide a smoothing framework for dealing with ...
Cong Cheng, Lianjie Tang
doaj   +1 more source

Integral necessary condition of optimality of the second order for control problems described by system of integro-differential equations with delay

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
We consider the optimal control problem that is described by the system of integro-differential equations of the Volterra type with delay and multipoint performance criterion.
Misir J Mardanov, Kamil B Mansimov, Nisa H Abdullayeva   +2 more
doaj   +1 more source

Second-Order PDE Constrained Controlled Optimization Problems with Application in Mechanics

Mathematics, 2021
The present paper deals with a class of second-order PDE constrained controlled optimization problems with application in Lagrange–Hamilton dynamics.
Savin Treanţă
doaj   +1 more source

Second order optimality conditions for differentiable multiobjective problems [PDF]

RAIRO - Operations Research, 2000
Summary: A secood order optimality condition for multiobjective optimization with a set constraints is developed; this condition is expressed as the impossibility of nonhomogeneous linear systems. When the constraint is given in terms of inequalities and equalities, it can be turned into a John type multipliers rule, using a nonhomogeneous Motzkin ...
CASTELLANI, MARCO, BIGI G.
openaire   +4 more sources

Recent Advances of Constrained Variational Problems Involving Second-Order Partial Derivatives: A Review

Mathematics, 2022
This paper comprehensively reviews the nonlinear dynamics given by some classes of constrained control problems which involve second-order partial derivatives.
Savin Treanţă
doaj   +1 more source