Stability analysis of nonlinear systems via piecewise linear Lyapunov functions

被引：0
|
作者：
Ohta, Y [1 ]
Yamamoto, K [1 ]
机构：
[1] Kobe Univ, Dept Syst & Comp Engn, Kobe, Hyogo 6578501, Japan
来源：
ISCAS 2000: IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - PROCEEDINGS, VOL II: EMERGING TECHNOLOGIES FOR THE 21ST CENTURY | 2000年
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D O I：
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中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, it is addressed the issue of constructing piecewise linear Lyapunov functions (PWLLF) for nonlinear systems satisfying the generalized sector condition, which is a generalization of the polytopic uncertainty. The main result of this paper is to propose a fast method to solving linear programming problems (LP's) which appear repeatedly in constructing PWLLF. The method uses a special structure of LP's which appear in constructing PWLLF.
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页码：208 / 211
页数：4
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