VECTOR NORMS AS LYAPUNOV FUNCTIONS FOR LINEAR-SYSTEMS

被引：86

作者：

KIENDL, H

ADAMY, J

STELZNER, P

机构：

[1] VEREINIGTE ELEKTRIZITATSWERKE,DORTMUND,GERMANY

[2] SIEMENS AG,W-8520 ERLANGEN,GERMANY

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1992年 / 37卷 / 06期

关键词：

D O I：

10.1109/9.256362

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this note, we present aa unified theory of quadratic and piecewise-linear Lyapunov functions for continuous and discrete-time linear systems. The key to our work is the description of these Lyapunov functions by vector norms. The main results are sufficient and necessary conditions for a vector norm to be aa Lyapunov function as well as a method (based on these conditions) to construct such Lyapunov functions.

引用

页码：839 / 842

页数：4

共 19 条

[1] EXISTENCE OF NON-SYMMETRICAL LYAPUNOV FUNCTIONS FOR LINEAR-SYSTEMS [J].