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О роли собственного проектора лапласовской матрицы в задаче достижения консенсуса в многоагентных системах второго порядка
Автоматика и телемеханика. 2019. № 11. С. 127-139.
Agaev R.
The problem of reaching consensus in multiagent second-order systems without a
spanning outgoing tree in the dependency digraph is considered. A theorem stating that the
asymptotic behavior of the system is uniquely determined by the eigenprojector of the Laplacian
matrix of the dependency digraph is proved. The earlier results established by the author and
independently by Ren and Atkins in their papers are further generalized. For the case in
which the dependency digraph contains no spanning outgoing tree, a regularization method is
proposed.
Publication based on the results of:
Буров А.А., Герман А. Д., Косенко И. И., Космические исследования 2014 Т. 52 № 4 С. 307-312
The problem of planar oscillations of a pendulum with variable length suspended on the Moon’s surface is considered. It is assumed that the Earth and Moon (or, in the general case, a planet and its satellite, or an asteroid and a spacecraft) revolve around the common center of mass in unperturbed elliptical Keplerian orbits. We ...
Added: November 8, 2014
Burov A. A., Nikonov V., Computational Mathematics and Mathematical Physics 2020 Vol. 60 No. 10 P. 1708-1720
The inertial characteristics of celestial bodies can be calculated using their triangle partitions based on photometric observations. Such partitions can be refined along with the accumulation of necessary information. In this regard, the question arises to what extent the approximations of the inertial characteristics of celestial bodies, in particular, the approximations of the components of ...
Added: November 12, 2020
Pelinovsky E., Didenkulova I., Rybkin A., Journal of Fluid Mechanics 2014 Vol. 748 P. 416-432
We present an exact analytical solution of the nonlinear shallow water theory for wave run-up in inclined channels of arbitrary cross-section, which generalizes previous studies on wave run-up for a plane beach and channels of parabolic cross-section. The solution is found using a hodograph-type transform, which extends the well-known Carrier–Greenspan transform for wave run-up on ...
Added: November 19, 2014
Пенза : ПГУ, 2015
В сборник трудов включены доклады юбилейного ХХ-го Международного симпозиума «Надежность и качество», проходившего с 25 по 31 мая 2015 г. в городе Пензе.
Рассмотрены актуальные проблемы теории и практики повышения надежности и качества; эффективности внедрения инновационных и информационных технологий в фундаментальных научных и прикладных исследованиях, образовательных и коммуникативных системах и средах, экономике и юриспруденции; методов и ...
Added: May 31, 2015
Andrianova O., Belov A., European Journal of Control 2018 No. 42 P. 38-48
In this paper, linear discrete-time time-invariant (LDTI) normal and descriptor systems with norm-bounded parametric uncertainties are under consideration. The input signal is supposed to be a “colored” noise with bounded
known mean anisotropy level (spectral color). The conditions of anisotropic
norm boundedness for such class of systems are derived. The algorithm is
based on convex optimization technique. A ...
Added: June 10, 2018
Aseeva N., Gromov E., Tyutin V. V., Известия высших учебных заведений. Радиофизика 2015 Т. 58 № 3 С. 227-234
Evolution of solitons is addressed in the framework of an extended nonlinear Schrödinger equation (NLSE), including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term which is well known as an ingredient of the temporal-domain NLSE in optics. In the present context, it is induced by the underlying interaction of the high-frequency ...
Added: December 9, 2014
Budkov Y., Kolesnikov A. L., Polymer Science - Series C 2018 Vol. 60 No. Supplement 1 P. 148-159
Theoretical models of the conformational behavior of flexible polymer chains in mixed solvents enunciated in the world literature during the last decade are critically reviewed. Models describing different mechanisms of coil-to-globule transitions in a good solvent induced by cosolvent addition are highlighted. Special attention is given to the analysis of theoretical approaches to describing the ...
Added: November 30, 2018
Yasnitsky L., Пермь : Пермский государственный национальный исследовательский университет. – Электронные данные. , 2020
The collection contains materials from the international conference "Intelligent systems in science and technology" and the Sixth all-Russian scientific and practical conference "Artificial intelligence in solving urgent social and economic problems of the XXI century", which was held on October 12-18, 2020 in Perm as part of the Perm natural science forum "Mathematics and global ...
Added: December 4, 2020
М. : Издательство математико-механического факультета МГУ, 2009
В настоящий сборник вошли аннотации докладов участников XVI международной конференции «Ломоносов» по секции «Математика и механика». ...
Added: February 4, 2013
Basalaev A., Dunin-Barkowski P., Natanzon S. M., Journal of Physics A: Mathematical and Theoretical 2021 Vol. 54 No. 11 P. 1-25
We propose a new construction of an integrable hierarchy associated to any infinite series of Frobenius manifolds satisfying a certain stabilization condition. We study these hierarchies for Frobenius manifolds associated to AN, DN and BN singularities. In the case of AN Frobenius manifolds our hierarchy turns out to coincide with the KP hierarchy; for BN ...
Added: March 19, 2021
Lazarev A. A., Журнал вычислительной математики и математической физики 2007 Т. 47 № 6 С. 1087-1099
The classical NP-hard (in the ordinary sense) problem of scheduling jobs in order to minimize the total tardiness for a single machine 1‖ΣT j is considered. An NP-hard instance of the problem is completely analyzed. A procedure for partitioning the initial set of jobs into subsets is proposed. Algorithms are constructed for finding ...
Added: November 23, 2012
Красноярск : ИВМ СО РАН, 2013
Труды Пятой Международной конференции «Системный анализ и информационные технологии» САИТ-2013 (19–25 сентября 2013 г., г.Красноярск, Россия): ...
Added: November 18, 2013
Gromov V., Obodan N., Thin-Walled Structures 2016 Vol. 107 P. 612-619
The present paper presents the complete bifurcation structure of nonlinear boundary problem of thin-walled systems for cylindrical panel subjected to uniform external pressure. We examine various boundary conditions on straight edges (free, simply supported, rigidly clamped edges, edges with prescribed fixed joint conditions); curvilinear edges are simply supported. To construct solutions of the boundary problem ...
Added: October 5, 2018
Romanov I., Вестник Московского университета. Серия 1: Математика. Механика 2011 № 4 С. 49-53
Рассматривается задача точного граничного управления колебаниями прямоугольной пластины. Доказывается, что колебания прямоугольной пластины (длины сторон которой рационально соизмеримы) можно привести в состояние покоя за конечное время. Причем, управляющее воздействие ограничено по абсолютной величине. ...
Added: October 2, 2012
Marshirov V. V., Marshirova L. E., Сибирский журнал индустриальной математики 2013 Т. XVI № 4 С. 111-120
The paper considers the problem of determining the rate of cooling of metal during solidification at the intersection of the liquidus temperature under intense heat sink from the surface. The solution to this problem it is necessary to determine the process conditions, the boundary and initial conditions for which it is possible to get new ...
Added: November 17, 2013
Gafarov E., Lazarev A. A., Information Processing Letters 2012 Т. 112 № 3 С. 72-76
In this note, we consider a single machine scheduling problem with generalized total tardiness objective function.
A pseudo-polynomial time solution algorithm is proposed for a special case of this problem. Moreover, we present a new
graphical algorithm for another special case, which corresponds to the classical problem of minimizing the weighted number
of tardy jobs on a single ...
Added: November 24, 2012
Barcelona : IEEE, 2017
International Conference on Control, Decision and Information Technologies. ...
Added: January 17, 2018
Gafarov E., Lazarev A. A., Werner F., Mathematical Social Sciences 2011 No. 62 P. 7-13
We consider single machine scheduling problems with a non-renewable resource. These types of problems have not been intensively investigated in the literature so far. For several problems of these types with standard objective functions (namely the minimization of makespan, total tardiness, number of tardy jobs, total completion time and maximum lateness), we present some complexity ...
Added: November 24, 2012
Gafarov E., Lazarev A. A., Werner F., Annals of Operations Research 2012 Vol. 196 No. 1 P. 247-261
We consider the problem of maximizing total tardiness on a single machine, where the first job starts at time zero and idle times between the processing of jobs are not allowed.We present a modification of an exact pseudo-polynomial algorithm based on a graphical approach, which has a polynomial running time. This result settles the complexity ...
Added: November 24, 2012
Budkov Y., Journal of Physics: Condensed Matter 2019 Vol. 31 P. 078002-078003
We reply to the comment on our paper by Budkov (2018 J. Phys.: Condens. Matter 30 344001). ...
Added: January 4, 2019
Зайцев В. И., Щавелин В. М., М. : ВИНИТИ РАН, 1985
Added: November 30, 2020
Palamarchuk E. S., Автоматика и телемеханика 2021 № 5 С. 20-34
Рассматривается задача линейно-квадратического регулятора при изменении параметра времени в соответствии со стохастической временной шкалой. Стохастическая временная шкала задается при помощи случайного процесса с непрерывно дифференцируемыми траекториями. При стремлении горизонта планирования к бесконечности находится стратегия управления, оптимальная по критериям, являющимся аналогами долговременных средних. Изучаются примеры задания стохастических временных шкал, используемых в различных приложениях. ...
Added: July 20, 2021
Darkhovsky B., Попков Ю. С., Попков А. Ю., Информационные технологии и вычислительные системы 2014 № 3 С. 17-30
О задачах глобальной оптимизации ...
Added: March 2, 2015
Novikova E., Russian Journal of Mathematical Physics 2009 Vol. 16 No. 4 P. 518-528
An explicit description of a finite minimal basis of generators is given for the algebra of symmetries of a generic quantum three-frequency resonance oscillator. ...
Added: October 23, 2012