Generalized Lyapunov Exponents of Homogeneous Systems

被引：0
|
作者：
Polyakov, Andrey [1 ]
Zhuk, Sergiy [2 ]
机构：
[1] Univ Lille, Inria Lille, CNRS, UMR 9189,CRIStAL, F-59000 Lille, France
[2] IBM Res, Dublin, Ireland
来源：
2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC) | 2019年
关键词：
DESIGN;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper deals the method of Lyapunov exponents for a class of a generalized homogeneous systems. Homogeneous systems may have some sup-exponential and super-exponential grows. In this case, the method of Lyapunov exponents becomes non-informative, e.g. all Lyapunov exponents may equal to zero but the system is globally uniformly asymptotically stable. In this paper we propose an approach which allows us to analyze a behavior of such homogeneous systems by means of the method of Lyapunov exponents.
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页码：7087 / 7092
页数：6
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