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
收藏
页码：72 / 76
页数：5
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