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2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)最新文献

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Barrier regulator design using polyhedral predictive control 利用多面体预测控制设计障碍调节器
N. Filimonov
We consider the design of a barrier regulator - a special regulator, which tries to minimize the effect of state-space constraints violation in dynamical systems, creating a soft barrier in their state space. We employ a time-suboptimal predictive control strategy for discrete-time linear systems based on the minimization of a polyhedral distance function. Computationally, our approach reduces to the on-line solution of linear programming problems.
我们考虑设计一个障碍调节器-一种特殊的调节器,它试图最小化动态系统中状态空间约束违反的影响,在其状态空间中创建一个软障碍。我们采用了一种基于多面体距离函数最小化的离散线性系统时间次优预测控制策略。在计算上,我们的方法简化为线性规划问题的在线解。
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引用次数: 4
Software complex BDO-RFQ 软件复合体BDO-RFQ
D. Ovsyannikov, A. Ovsyannikov, I. Antropov, V. Kozynchenko
The upgraded program complex BDO RFQ is introduced in this article. This complex is developed for modernization and step-by-step optimization of RFQ structure.
本文介绍了升级后的程序复合体BDO RFQ。该综合体是为RFQ结构的现代化和逐步优化而开发的。
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引用次数: 5
Identification of the domain of attraction 对吸引域的识别
V. Ermolin, T. Vlasova
In this paper we consider a time-invariant system of differential equations with an equilibrium. We study the problem of a class of Lyapunov functions allowing to describe an estimation of the domain of attraction (DOA). This work is a development of the results obtained by V. I. Zubov. The solution of the problem is based on the application of the second method of Lyapunov. An example illustrates the theoretical results.
本文考虑一类具有平衡点的定常微分方程组。研究一类允许描述吸引域估计的李雅普诺夫函数问题。这项工作是V. I. Zubov的结果的发展。该问题的求解基于李亚普诺夫第二方法的应用。算例说明了理论结果。
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引用次数: 6
Modelling of interaction of sea waves between the “source-sink” hydrodynamical system “源-汇”水动力系统之间海浪相互作用的模拟
V. Maximov, Tatyana F. Zavadskaya
The problem of modelling a uniform depth fluid flow, which generated by hydrodynamic source and sink, is considered. The solution of the appearing linear boundary-value problem is obtained using operator technique and Laplace transform. In the special case, when the hydrodynamic system intensity varies harmonically, an analytical formula for the wave surface elevation was obtained.
考虑了由水动力源和水动力汇产生的均匀深度流体流动的建模问题。利用算子技术和拉普拉斯变换得到了出现的线性边值问题的解。在水动力系统强度谐波变化的特殊情况下,得到了波浪面高程的解析公式。
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引用次数: 0
Geometric integration of nonlinear dynamical systems 非线性动力系统的几何积分
S. Andrianov, N. Edamenko
In modern literature, the geometric integration means numerical integration of differential equations that provides an accurate preservation of one or more “geometric” properties within rounding error. Among these properties we have to mention first conservation of energy, of momentum, of angular momentum, of volume of the phase space, of time-reversal symmetry, of symplectic structure (volume conservation) etc. In this article we consider the concept of geometrical integration using Lie transformations generated by dynamical system on the one hand, and matrix representation for corresponding evolution operators on the other hand. Examples of solutions for some test problems and of practical problems are given.
在现代文献中,几何积分是指微分方程的数值积分,它在舍入误差范围内精确地保留了一个或多个“几何”性质。在这些性质中,我们必须首先提到能量守恒,动量守恒,角动量守恒,相空间体积守恒,时间反转对称性守恒,辛结构守恒(体积守恒)等等。本文一方面考虑了由动力系统生成的李变换的几何积分概念,另一方面考虑了相应演化算子的矩阵表示。给出了一些测试问题和实际问题的解法实例。
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引用次数: 1
New algorithms of an artificial neural network ART-1 training 人工神经网络ART-1训练的新算法
Yu. Rashchenko, V. Kozynchenko
The paper considers a new algorithm for training of the artificial neural network ART-1, based on simulation of a biosimilar property of short-term memory. A modified neural network is realized as a computer model, comparative testing of classical and modified networks is carried out, its results are analyzed.
本文提出了一种基于短期记忆生物相似特性模拟的人工神经网络ART-1训练新算法。将改进后的神经网络作为计算机模型实现,对经典网络和改进后的神经网络进行了对比测试,并对其结果进行了分析。
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引用次数: 0
Development of 2D Poisson equation C++ finite-difference solver for particle-in-cell method 二维泊松方程的c++有限差分解算器的开发
V. Ponomarev, V. Altsybeyev
The code development for Poisson equation solving using finite-difference method is discussed in this paper. The developed tool allows to compute electric field on the rectangle mesh with good accuracy even for difficult geometry of computational domain.
本文讨论了用有限差分法求解泊松方程的程序开发。所开发的工具可以在矩形网格上计算电场,即使对计算域的复杂几何形状也能得到很好的计算精度。
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引用次数: 9
Evolutionary dynamics of partition games 分区博弈的进化动力学
P. Bocharov, A. Goryashko
We introduce a model of evolutionary game dynamics for partition games - general class of resource allocation games. Our focus is on a computer modelling of the repeated partition games where the pure payoff matrix strategies are the actors of the population. At each instant, actor from one concurrent population is randomly matched with actor from other population, and they play a strategic form game Lotto. The payoffs of the game are population's fitness level. Populations with the strategies that have higher payoffs expand and those that have lower payoffs shrink. We discuss several experimental results with unexpected populations behavior.
本文介绍了一类资源分配博弈——分配博弈的演化动力学模型。我们的重点是重复分配博弈的计算机建模,其中纯收益矩阵策略是总体的参与者。在每一个瞬间,来自同一种群的参与者与来自其他种群的参与者随机匹配,他们玩一个策略形式的乐透游戏。博弈的收益是人口的健康水平。采用高收益策略的人口数量会增加,而采用低收益策略的人口数量会减少。我们讨论了几个具有意外群体行为的实验结果。
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引用次数: 1
Computer simulation of blood flow in certain types of the blood vessels pathologies 计算机模拟血液流动中某些类型的血管病变
V. Tregubov, Nikolay Zhukov, M. Sayfullin
The mechanical models of the blood flow in the vessels with complicated forms are proposed. Four kinds of vessel pathologies are considered and simulated by means of FEM in the ABAQUS software application. The governing equations for Non-Newtonian liquid were derived and the semi-slip boundary condition was formulated for fluid-structure interaction. As a result of computer simulation the velocity and pressure distributions were obtained for pathological regions of vessels.
提出了复杂形态血管血流的力学模型。在ABAQUS软件中对四种血管病变进行了有限元模拟。推导了非牛顿流体的控制方程,建立了流固耦合的半滑移边界条件。通过计算机模拟得到了病变血管的流速和压力分布。
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引用次数: 0
The influence of the surface stress on the local buckling of a plate with a circular nanohole 表面应力对圆形纳米孔板局部屈曲的影响
A. Bochkarev, M. Grekov
The influence of the surface stress on the local buckling of an infinite plate with a circular nanohole under the uniaxial remote tension is investigated. The critical (Euler) load corresponding to the buckling is found with the Ritz method in the framework of the linearized von Kármán set of equations. Numerical computations are performed with the Ritz method for various elastic properties of the surface. It is shown that one doesn't get a significant correction of the local buckling (i.e of the critical load), if residual surface stress is included into the mathematically exact theory of surface elasticity.
研究了在单轴远拉伸作用下,表面应力对带圆形纳米孔的无限板局部屈曲的影响。在线性化的von Kármán方程框架下,用里兹法求出了屈曲所对应的临界欧拉荷载。用里兹法对表面的各种弹性特性进行了数值计算。结果表明,如果将残余表面应力纳入精确的表面弹性理论中,对局部屈曲(即临界载荷)的修正并不显著。
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引用次数: 11
期刊
2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)
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