NDLI: Stability of a class of linear switching systems with applications to two consensus problems

Content Provider	IEEE Xplore Digital Library
Author	Youfeng Su Jie Huang
Copyright Year	2011
Description	Author affiliation: Dept. of Mech. & Autom. Eng., Chinese Univ. of Hong Kong, Hong Kong, China (Youfeng Su; Jie Huang)
Abstract	In this paper, we first establish a stability result for a class of linear switching systems involving Kronecker product. The problem is intriguing in that the system matrix does not have to be Hurwitz in any time instant. We have established the main result by a combination of the Lyapunov stability analysis and a generalized Barbalat's Lemma applicable to piecewise continuous linear systems. As applications of this stability result, we study both the leaderless consensus problem and the leader-following consensus problem for general marginally stable linear multi-agent systems under switching network topology. In contrast with many existing results, our result only assume that the dynamic graph is uniformly connected.
Sponsorship	Control Syst. Soc.
Starting Page	1446
Ending Page	1451
File Size	235635
Page Count	6
File Format	PDF
ISBN	9781457700804
ISSN	07431619
e-ISBN	9781457700811
DOI	10.1109/ACC.2011.5990782
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-06-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Lead Switches Switching systems Protocols State feedback Stability analysis Linear matrix inequalities
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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