Robust Stability of Switched Systems

被引：0

作者：

Sloth, Christoffer ^{[1
]}

Wisniewski, Rafael ^{[1
]}

机构：

[1] Aalborg Univ, Sect Automat & Control, DK-9220 Aalborg, Denmark

来源：

2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2014年

关键词：

POLYNOMIALS;

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：

This paper presents a linear programming-based method for finding Lyapunov functions of switched systems with polynomial vector fields and parametric uncertainties. We propose to utilize a certificate of positivity in the Bernstein basis to find a Lyapunov function. A certificate of positivity in the Bernstein basis always exists if a polynomial is positive, and the Bernstein basis is shown to be well conditioned.

引用

页码：4685 / 4690

页数：6

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