Robust Stability of Switched Systems

Christoffer Sloth; Rafael Wisniewski

doi:10.1109/CDC.2014.7040119

Robust Stability of Switched Systems

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

7 Citations (Scopus)

Abstract

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.

Original language	English
Title of host publication	Decision and Control, 2014 IEEE 53rd Conference on
Number of pages	6
Publisher	IEEE
Publication date	2014
Pages	4685-4690
ISBN (Print)	978-1-4799-7746-8
DOIs	https://doi.org/10.1109/CDC.2014.7040119
Publication status	Published - 2014
Event	2014 IEEE 53rd Annual Conference on Decision and Control (CDC) - Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014

Conference

Conference	2014 IEEE 53rd Annual Conference on Decision and Control (CDC)
Country/Territory	United States
City	Los Angeles
Period	15/12/2014 → 17/12/2014

Series	I E E E Conference on Decision and Control. Proceedings
ISSN	0743-1546

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10.1109/CDC.2014.7040119

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CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation
Wisniewski, R. & Sloth, C.
01/08/2014 → 31/10/2018
Project: Research

Cite this

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title = "Robust Stability of Switched Systems",

abstract = "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.",

author = "Christoffer Sloth and Rafael Wisniewski",

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language = "English",

isbn = "978-1-4799-7746-8",

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AB - 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.

U2 - 10.1109/CDC.2014.7040119

DO - 10.1109/CDC.2014.7040119

M3 - Article in proceeding

SN - 978-1-4799-7746-8

T3 - I E E E Conference on Decision and Control. Proceedings

SP - 4685

EP - 4690

BT - Decision and Control, 2014 IEEE 53rd Conference on

PB - IEEE

T2 - 2014 IEEE 53rd Annual Conference on Decision and Control (CDC)

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ER -

Robust Stability of Switched Systems

Abstract

Conference

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CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation

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