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On Pade Approximations and the Preservation of Quadratic Stability for Switched Linear Systems

Shorten, R. and Corless, M. and Sajja, S. and Solmaz, S. (2010) On Pade Approximations and the Preservation of Quadratic Stability for Switched Linear Systems. International Journal of Control. ISSN 0020-7179 (Unpublished)

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Abstract

In this note we consider the stability preserving properties of diagonal Pad´e approximations to the matrix exponential. We show that while diagonal Pad´e approximations preserve quadratic stability when going from continuous-time to discrete-time, the converse is not true. We discuss the implications of this result for discretising switched linear systems. We also show that for continuous-time switched systems which are exponentially stable, but not quadratically stable, a Pad´e approximation may not preserve stability.

Item Type: Article
Additional Information: Preprint
Keywords: Pade Approximations; Quadratic Stability; Switched Linear Systems;
Subjects: Science & Engineering > Hamilton Institute
Item ID: 2248
Depositing User: Dr. Robert Shorten
Date Deposited: 10 Nov 2010 16:38
Journal or Publication Title: International Journal of Control
Publisher: Taylor & Francis
Refereed: No
URI:

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