Results 11 to 20 of about 12,161,396 (244)

Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints [PDF]

Journal of Applied Mathematics, 2014
Some necessary global optimality conditions and sufficient global optimality conditions for nonconvex minimization problems with a quadratic inequality constraint and a linear equality constraint are derived.
Guoquan Li, Yan Wang
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Sufficient conditions for global optimality of semidefinite optimization [PDF]

Journal of Inequalities and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Quan, Jing, Wu, Zhiyou, Li, Guoquan, Wu, Ou   +3 more
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Optimality conditions and algorithms for integral global minimization [PDF]

Computers & Mathematics with Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongquan Cui, Changchun Wang, Quan Zheng 0003   +2 more
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A direct adaptive generalized predictive controllers and some of its global convergence properties [PDF]

Modeling, Identification and Control, 1994
This paper is concerned with the direct approach of adaptive generalized predictive control. Optimality of generalized predictive control is analyzed and an implicit model with control law parameters is developed. A direct adaptive generalized predictive
Wei Wang, Rolf Henriksen
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Necessary and sufficient condition on global optimality without convexity and second order differentiability [PDF]

, 2012
The main goal of this paper is to give a necessary and sufficient condition of global optimality for unconstrained optimization problems, when the objective function is not necessarily convex. We use Gâteaux differentiability of the objective function
Burai, Pál
core   +1 more source

Optimal control problem for 3D micropolar fluid equations

Electronic Journal of Qualitative Theory of Differential Equations, 2020
In this paper we study an optimal control problem related to strong solutions of 3D micropolar fluid equations. We deduce the existence of a global optimal solution with distributed control and, using a Lagrange multipliers theorem, we derive first-order
Exequiel Mallea-Zepeda, Luis Medina
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Shape and topology optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach

Advances in Nonlinear Analysis, 2021
A cost function involving the eigenvalues of an elastic structure is optimized using a phase-field approach, which allows for topology changes and multiple materials.We show continuity and differentiability of simple eigenvalues in the phase-field ...
Garcke Harald, Hüttl Paul, Knopf Patrik
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Feedback Minimum Principle: Variational Strengthening of the Concept of Extremality in Optimal Control

Известия Иркутского государственного университета: Серия "Математика", 2022
Existing maximum principles of Pontryagin’s type and related optimality conditions, such as, e.g., the ones derived by F. Clarke, B. Kaskosz and S. Lojasiewicz Jr., and H.J.
V.A. Dykhta
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Quadratic Cost Minimax Optimal Control Problems for a Semilinear Viscoelastic Equation with Long Memory

Journal of Mathematics, 2021
In this paper, we study the quadratic cost minimax optimal control problems for a semilinear viscoelastic equation with long memory. A global well-posedness theorem regarding the solutions to its Cauchy problem is given.
Jin-soo Hwang
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Maximum Principle and Second-Order Optimality Conditions in Control Problems with Mixed Constraints

Axioms, 2022
This article concerns the optimality conditions for a smooth optimal control problem with an endpoint and mixed constraints. Under the normality assumption, which corresponds to the full-rank condition of the associated controllability matrix, a simple ...
Aram V. Arutyunov, Dmitry Yu. Karamzin, Fernando Lobo Pereira   +2 more
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