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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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 +2 more
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Global optimization of multivariable functions satisfying the Vanderbei condition [PDF]
Journal of Applied Mathematics and Computing, 2021 We propose two algorithms for solving global optimization problems on a hyperrectangle with an objective function satisfying the Vanderbei condition (this function is also called an $\varepsilon$-Lipschitz continuous function). The algorithms belong to the class of non-uniform cover-ings methods.
N. K. Arutyunova +2 more
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Optimization of the standard genetic code according to three codon positions using an evolutionary algorithm. [PDF]
PLoS ONE, 2018 Many biological systems are typically examined from the point of view of adaptation to certain conditions or requirements. One such system is the standard genetic code (SGC), which generally minimizes the cost of amino acid replacements resulting from ...
Paweł Błażej +3 more
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Global optimality conditions for deep neural networks
CoRR, 2017 14 pages.
Chulhee Yun, Suvrit Sra, Ali Jadbabaie
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A new filter QP-free method for the nonlinear inequality constrained optimization problem
Journal of Inequalities and Applications, 2018 In this paper, a filter QP-free infeasible method with nonmonotone line search is proposed for minimizing a smooth optimization problem with smooth inequality constraints.
Youlin Shang, Zheng-Fen Jin, Dingguo Pu
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A Computational Method for Solving $N$-Person Game
Известия Иркутского государственного университета: Серия "Математика", 2017 The nonzero sum $n$-person game has been considered. It is well known that the game can be reduced to a global optimization problem [5; 7; 14]. By extending Mills’ result [5], we derive global optimality conditions for a Nash equilibrium.
R. Enkhbat +4 more
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Second Order Krotov Method for Discrete-Continuous Systems
Известия Иркутского государственного университета: Серия "Математика", 2020 In the late 1960s and early 1970s, a new class of problems appeared in the theory of optimal control. It was determined that the structure of a number of systems or processes is not homogeneous and can change over time. Therefore, new mathematical models
I.V. Rasina, O. V. Danilenko
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