Common Lyapunov function computation for discrete-time systems

被引：0

作者：

Hafstein, Sigurdur Freyr ^{[1
]}

机构：

[1] Univ Iceland, Fac Phys Sci, IS-107 Reykjavik, Iceland

来源：

2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2018年

关键词：

STABILITY;

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：

We describe an algorithm to compute a common Lyapunov function for a finite set of nonlinear discrete-time systems. In this algorithm a compact neighbourhood of a common equilibrium of the systems is subdivided into simplices and a linear programming problem is constructed. We prove that any feasible solution to this linear programming problem can be used to parameterize a common Lyapunov function for the systems that is continuous and affine on each of the simplices of the triangulation. We conclude the paper by applying our algorithm to two planar examples.

引用

页码：3211 / 3216

页数：6

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