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On the simultaneous diagonal stability of a pair of positive linear systems

Mason, Oliver and Shorten, Robert (2006) On the simultaneous diagonal stability of a pair of positive linear systems. Linear Algebra and its Applications, 413 (1). pp. 13-23. ISSN 0024-3795

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Abstract

In this paper we derive a necessary and sufficient condition for the existence of a common diagonal quadratic Lyapunov function for a pair of positive linear time-invariant (LTI) systems.

Keywords:Stability; Positive systems; Switched systems; Diagonal Lyapunov functions; Diagonal stability; Hamilton Institute.
Subjects:Science & Engineering > Hamilton Institute
Science & Engineering > Mathematics
ID Code:1886
Deposited By:Hamilton Editor
Deposited On:15 Mar 2010 12:20
Journal or Publication Title:Linear Algebra and its Applications
Publisher:Elsevier
Refereed:Yes
URL:http://www.elsevier.com/wps/find/journaldescription.cws_home/522483/description#description

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