Lyapunov function construction by linear programming

被引：48
|
作者：
Polanski, A
机构：
[1] Department of Automatic Control, Silesian Technical University
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1997年 / 42卷 / 07期
关键词：
D O I：
10.1109/9.599986
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 paper the Lyapunov function given by the infinity norm is considered. A new proof of the theorem of Molchanov and Pyatintskii is given. The presented proof enables us to give an explicit calculation of the matrix which was only demonstrated to exist in the original paper, Combining the obtained result with the idea of scaling faces of a polytope gives the method of fitting the shape of level surfaces, of the Lyapunov function given by the infinity norm, to the specified demands.
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页码：1013 / 1016
页数：4
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