Results 1 to 10 of about 195,148 (324)
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
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Optimality conditions applied to free-time multi-burn optimal orbital transfers
, 2016 While the Pontryagin Maximum Principle can be used to calculate candidate extremals for optimal orbital transfer problems, these candidates cannot be guaranteed to be at least locally optimal unless sufficient optimality conditions are satisfied. In this
Chen, Zheng
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Vestnik 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
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Optimal Control of Differential Inclusions, II: Sweeping
Известия 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
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Optimality for Control Problem with PDEs of Second-Order as Constraints
Mathematics, 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
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Tạp 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
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Optimality Conditions for Nonlinear Semidefinite Programming via Squared Slack Variables
, 2015 In this work, we derive second-order optimality conditions for nonlinear semidefinite programming (NSDP) problems, by reformulating it as an ordinary nonlinear programming problem using squared slack variables.
Fukuda, Ellen H. +2 more
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Optimal control of the sweeping process over polyhedral controlled sets [PDF]
, 2015 The paper addresses a new class of optimal control problems governed by the dissipative and discontinuous differential inclusion of the sweeping/Moreau process while using controls to determine the best shape of moving convex polyhedra in order to ...
Colombo, Giovanni +3 more
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Abstract 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
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Pareto Optimality Conditions and Duality for Vector Quadratic Fractional Optimization Problems
Journal 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
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