NDLI: On the diagonal stability of a class of almost positive switched systems

Content Provider	IEEE Xplore Digital Library
Author	Shorten, R. Narendra, K.S.
Copyright Year	2010
Description	Author affiliation: Hamilton Inst., NUI Maynooth, Maynooth, Ireland (Shorten, R.) \|\| Centre for Syst. Sci., Yale Univ., New Heaven, CT, USA (Narendra, K.S.)
Abstract	Necessary and sufficient conditions are derived in this paper for the existence of a diagonal Lyapunov function for a class of switched systems. The switching is carried out intermittently between the open loop and the closed loop of a feedback system, a procedure encountered frequently in many interconnected systems at the present time. The open loop system considered in the paper is described by a stable Metzler matrix, which is known to be diagonally stable. The closed loop system is stable, but does not retain the Metzler property. The existence of a common diagonal Lyapunov function assures system stability for arbitrary switching. This decouples stability and performance issues in the switched system, and permits switching to be carried out entirely for improving performance. Towards the end of the paper, it is also shown that some recent results in the control literature can be derived as special cases of the principal results derived in the paper.
Starting Page	6250
Ending Page	6255
File Size	739929
Page Count	6
File Format	PDF
ISBN	9781424474264
ISSN	07431619
e-ISBN	9781424474271
DOI	10.1109/ACC.2010.5531527
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-30
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Switched systems Lyapunov method Sufficient conditions Feedback loop Symmetric matrices Eigenvalues and eigenfunctions Interconnected systems Open loop systems Stability analysis Linear systems
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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