On numerical construction of homogeneous Lyapunov functions

被引：0
|
作者：
Efimov, D. [1 ,2 ]
Ushirobira, R. [1 ,2 ]
Moreno, J. A. [3 ]
Perruquetti, W. [1 ,2 ]
机构：
[1] INRIA, Non A Team, Parc Sci Haute Borne, 40 Ave Halley, F-59650 Villeneuve Dascq, France
[2] Ecole Cent Lille, CNRS, CRIStAL, UMR 9189,Cite Sci, F-59651 Villeneuve Dascq, France
[3] Univ Nacl Autonoma Mexico, Inst Ingn, Mexico City 04510, DF, Mexico
来源：
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2017年
关键词：
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 problem of synthesis of a homogeneous Lyapunov function for an asymptotically stable homogeneous system is studied. For systems with a nonnegative degree of homogeneity, a numeric procedure is proposed, which provides a digital representation of a homogeneous Lyapunov function. The results are illustrated by two planar examples of linear and nonlinear systems.
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页数：6
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