A5048879977- Optimization and Variational Analysis
- Economic theories and models
- Aerospace Engineering and Control Systems
- Spacecraft Dynamics and Control
- Stochastic processes and financial applications
- Game Theory and Applications
- Advanced Control Systems Optimization
- Plasmonic and Surface Plasmon Research
- Advanced Optimization Algorithms Research
- Optical Coatings and Gratings
- Game Theory and Voting Systems
- Mathematical Dynamics and Fractals
- Geometric Analysis and Curvature Flows
- Guidance and Control Systems
- Nonlinear Partial Differential Equations
- Advanced Thermodynamics and Statistical Mechanics
- Differential Equations and Boundary Problems
- Mathematical Biology Tumor Growth
- Photonic and Optical Devices
- Mathematical and Theoretical Epidemiology and Ecology Models
- Advanced Banach Space Theory
- Copper-based nanomaterials and applications
- Antenna Design and Analysis
- advanced mathematical theories
- Fixed Point Theorems Analysis
Ural Branch of the Russian Academy of Sciences
2014-2023
N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences
2013-2023
Centre de Nanosciences et de Nanotechnologies
2022
Light, nanomaterials, nanotechnologies
2022
Ural Federal University
2013-2018
Université de Technologie de Troyes
2017
Centre National de la Recherche Scientifique
2017
King's College London
2015-2016
Instituto de Óptica "Daza de Valdés"
2015-2016
Institute of Mathematics and Mechanics
2015
We investigate necessary conditions of optimality for the Bolza-type infinite horizon problem with free right end. The is understood in sense weakly uniformly overtaking optimal control. No previous knowledge asymptotic behaviour trajectories or adjoint variables necessary. Following Seierstad's idea, we obtain boundary condition at infinity form a transversality maximum principle. Those may be expressed integral through an Aseev--Kryazhimskii-type formulae co-state arcs. connection between...
We investigate conditions of optimality for an infinite horizon control problem and consider their correspondence with the value function. Assuming Lipschitz continuity function, we prove that sensitivity relations plus normal form version Pontryagin Maximum Principle is a necessary sufficient condition criteria correspond to this Different under different asymptotic constraints may be used, including almost strong classical proposed by D.Bogusz. Special attention devoted weakly agreeable...
An electromagnetic field is able to produce a collective oscillation of free electrons at metal surface. This allows light be concentrated in volumes smaller than its wavelength. The resulting waves, called surface plasmons can applied various technological applications such as ultra-sensitive sensing, Surface Enhanced Raman Spectroscopy, or metal-enhanced fluorescence, name few. For several decades plasmonics has been almost exclusively studied the visible region by using nanoparticles made...
Исследуются антагонистические динамические игры, в том числе игры нормальной форме. Рассматриваются асимптотики цен для таких игр при усреднении показателя качества равномерно по все большему промежутку (среднее Чезаро) и с меньшим показателем дисконтирования Абелю). Доказана соответствующая теорема Таубера-Абеля: равномерные пределы того, другого способа усреднения существуют равны между собой, если существует хотя бы один из пределов. Получены аналоги односторонних тауберовых теорем. На...
The paper is devoted to the asymptotic behavior of value functions abstract control problem with long-time and discounted averages. Uniform Tauberian Theorem for these problems states that uniform convergence long-time~averages (as horizon tends infinity) equivalent averages discount zero), limits are identical. According Miquel Oliu-Barton Guillaume Vigeral, this assertion holds if set all feasible processes closed respect concatenation. In paper, we refine condition.
The paper is devoted to a new unidirectional mean value inequality for the Fréchet subdifferential of continuous function. This finds an intermediate point and localizes its both from above below; this reason, called two-sided. considered function defined on smooth space. class Banach spaces includes case reflexive space separable Asplund As some application these inequalities, we give upper estimate limit functions
The paper is concerned with two-person dynamic zero-sum games. We investigate the limit of value functions finite horizon games long run average cost as time tends to infinity, and $\lambda$-discounted discount zero. Under quite weak assumptions on game, we prove Uniform Tauberian Theorem: existence a uniform for one implies convergence other same limit. also analogs One-sided Theorem, i.e., inequalities asymptotics lower upper game. Special attention devoted case differential key roles in...
We study the necessary optimality conditions for general deterministic mean field type free-endpoint optimal control problem. Our relies on Lagrangian approach that treats system as a crowd of infinitely many agents who are labeled by elements some probability space. Within framework approach, we derive Pontryagin maximum principle. In particular, it implies costate variables also Furthermore, consider Kantorovich and Eulerian formalizations those describe via distribution set trajectories...
The paper is concerned with a nonlinear impulsive control system trajectories of bounded variation. Necessary conditions optimality in form the Maximum Principle are derived for class infinite horizon optimal problems. For overtaking criterion under assumption that all gradients payoff function bounded, we construct transversality condition adjoint variable terms limit points gradient function. In case when this point unique, supplements and determines unique solution system. This can be...
c Д. В. Хлопин О РАСШИРЕНИИ КОНФЛИКТНО-УПРАВЛЯЕМЫХ ЗАДАЧ НА БЕСКОНЕЧНОМ ПРОМЕЖУТКЕ 1 В работе строится расширение конфликтно-управляемых задач на бесконечном промежутке.Соответствующее является проективным пределом сужений исходной игры ограниченные промежутки времени.Существование максимина в такой расширенной игре эквивалентно нечувствительности к расширению целевого множества.Особое внимание уделяется сближения-уклонения паре смешанное управление / обобщенное .