On the computation of piecewise quadratic Lyapunov functions

被引：0
|
作者：
Johansson, M [1 ]
Rantzer, A [1 ]
机构：
[1] Lund Inst Technol, Dept Automat Control, S-22100 Lund, Sweden
来源：
PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5 | 1997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：
A new parameterization of piecewise quadratic functions is presented aimed for convex optimization of Lyapunov functions. The parameterization ensures continuity of the functions, but is also flexible enough to approximate any continuous function with arbitrary accuracy. A converse Lyapunov theorem is given, stating that all exponentially stable systems of a certain class will in principle admit a piece wise quadratic Lyapunov function to be found by the given. optimization. procedure.
引用
收藏
页码：3515 / 3520
页数：6
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