Results 21 to 30 of about 11,355 (263)

Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency

open access: yesAbstract and Applied Analysis, 2011
Some new properties are obtained for generalized second-order contingent (adjacent) epiderivatives of set-valued maps. By employing the generalized second-order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient ...
Qilin Wang, Guolin Yu
doaj   +1 more source

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

open access: yesMathematics, 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

Necessary optimality conditions of the second oder in a stochastic optimal control problem with delay argument

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
The optimal control problem of nonlinear stochastic systems which mathematical model is given by Ito stochastic differential equation with delay argument is considered.
Rashad oglu Mastaliyev
doaj   +1 more source

Optimal Control of Differential Inclusions, II: Sweeping

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
This paper is devoted to optimal control of dynamical systems governed by differential inclusions with discontinuous velocity mappings. This framework mostly concerns a new class of optimal control problems described by various versions of the socalled ...
B.S. Mordukhovich
doaj   +1 more source

Optimality for Control Problem with PDEs of Second-Order as Constraints

open access: yesMathematics, 2022
This paper deals with a class of second-order partial differential equation (in short, PDE) constrained optimal control problems. More specifically, by using appropriate variational techniques, we state necessary conditions of optimality associated with ...
Savin Treanţă   +2 more
doaj   +1 more source

FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS

open access: yesTạp chí Khoa học Đại học Đà Lạt, 2012
We consider various kinds of solutions to nonsmooth vector equilibrium problems with functional constraints. By using first and second-order approximations as generalise derivatives we establish both necessary and sufficient optimality conditions.
Phan Quốc Khánh, Lê Thanh Tùng
doaj   +1 more source

Maximum Principle in the Optimal Control Problems for Systems with Integral Boundary Conditions and Its Extension

open access: yesAbstract and Applied Analysis, 2013
The optimal control problem with integral boundary condition is considered. The sufficient condition is established for existence and uniqueness of the solution for a class of integral boundary value problems for fixed admissible controls.
A. R. Safari   +2 more
doaj   +1 more source

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

open access: yesFEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee   +3 more
wiley   +1 more source

Pareto Optimality Conditions and Duality for Vector Quadratic Fractional Optimization Problems

open access: yesJournal of Applied Mathematics, 2014
One of the most important optimality conditions to aid in solving a vector optimization problem is the first-order necessary optimality condition that generalizes the Karush-Kuhn-Tucker condition.
W. A. Oliveira   +3 more
doaj   +1 more source

Second-order Necessary Optimality Conditions for an Optimal Control Problem [PDF]

open access: yesTaiwanese Journal of Mathematics, 2020
The paper deals with the second-order necessary optimality conditions for an optimal control problem with a nonconvex cost function and state-control constraints. The authors prove an abstract result on second-order necessary optimality conditions for a mathematical programming problem and obtain second-order necessary optimality conditions for a class
Nguyen, Toan, Le, Thuy
openaire   +2 more sources

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