Peer-Reviewed Journal Details
Mandatory Fields
Knorn, F;Mason, O;Shorten, R
2009
August
Automatica
On linear co-positive Lyapunov functions for sets of linear positive systems
Published
165 ()
Optional Fields
POWER-CONTROL STABILITY MATRIX
45
1943
1947
In this paper we derive necessary and sufficient conditions for the existence of a common linear co-positive Lyapunov function for a finite set of linear positive systems. Both the state dependent and arbitrary switching cases are considered. Our results reveal an interesting characterisation of "linear" stability for the arbitrary switching case; namely, the existence of such a linear Lyapunov function can be related to the requirement that a number of extreme systems are Metzler and Hurwitz stable. Examples are given to illustrate the implications of our results. (C) 2009 Elsevier Ltd. All rights reserved.
OXFORD
0005-1098
10.1016/j.automatica.2009.04.013
Grant Details