Collision-Free Dynamical Systems

被引：2

作者：

Zerz, Eva ^{[1
]}

Herty, Michael ^{[2
]}

机构：

[1] Rhein Westfal TH Aachen, Lehrstuhl Math D, Aachen, Germany

[2] Rhein Westfal TH Aachen, Inst Geometrie & Prakt Math, Aachen, Germany

来源：

IFAC PAPERSONLINE | 2019年 / 52卷 / 17期

关键词：

Linear systems; structural properties; multivariable/functional/positive systems;

D O I：

10.1016/j.ifacol.2019.11.029

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Collision-freeness is an important structural property of particle dynamics. A nonlinear ODE system (x) over dot (t) = f (x(t)) is called collision-free if the solution to the initial value problem with x(0) = x has distinct components for all times t whenever the initial state x(0) has distinct components. Both the general case of a C-1-function f and the special case of a polynomial (or even linear) function f will be addressed. Copyright (C) 2019. The Authors. Published by Elsevier Ltd. All rights reserved.

引用

页码：72 / 76

页数：5

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