线性动力系统的精确可控性:一种几何方法

IF 0.6 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 2016-01-01 DOI:10.21136/AM.2016.0427-15

M. García-Planas

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引用次数: 5

摘要

近年来，人们对复杂系统的描述性分析越来越感兴趣，这些系统渗透到日常生活的许多方面，在描述其结构和动力学特性方面取得了相当大的进展。然而，很少有人致力于研究发生在它们身上的动力学的可控性。具体地说，对于复杂系统，研究精确的可控性是很有意义的;这个度量被定义为将整个系统引导到任何期望状态所需的最小控制集。本文主要研究了所有B的集合的注意性，使系统(A, B)精确可控。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exact controllability of linear dynamical systems: A geometrical approach

In recent years there has been growing interest in the descriptive analysis of complex systems, permeating many aspects of daily life, obtaining considerable advances in the description of their structural and dynamical properties. However, much less effort has been devoted to studying the controllability of the dynamics taking place on them. Concretely, for complex systems it is of interest to study the exact controllability; this measure is defined as the minimum set of controls that are needed in order to steer the whole system toward any desired state. In this paper, we focus the study on the obtention of the set of all B making the system (A, B) exact controllable.

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.