Results 11 to 20 of about 8,714 (262)

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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Optimal control for a chemotaxis–haptotaxis model in two space dimensions

Boundary Value Problems, 2022
This paper deals with a chemotaxis–haptotaxis model which described the process of cancer invasion on the macroscopic scale. We first explore the global-in-time existence and uniqueness of a strong solution.
Hui Tang, Yunfei Yuan
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A sufficient and necessary condition for global optimization

Applied Mathematics Letters, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Donghua Wu, Wuyang Yu, Quan Zheng 0003
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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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Feedback Minimum Principle for Quasi-Optimal Processes of Terminally-Constrained Control Problems

Известия Иркутского государственного университета: Серия "Математика", 2017
In a series of previous works, we derived nonlocal necessary optimality conditions for free-endpoint problems. These conditions strengthen the Maximum Principle and are unified under the name “feedback minimum principle”.
V.A. Dykhta
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A global optimization paradigm based on change of measures [PDF]

Royal Society Open Science, 2015
A global optimization framework, COMBEO (Change Of Measure Based Evolutionary Optimization), is proposed. An important aspect in the development is a set of derivative-free additive directional terms, obtainable through a change of measures en route to ...
Saikat Sarkar, Debasish Roy, Ram Mohan Vasu   +2 more
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