Title :
On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
Author :
Mason, O. ; Shorten, R.
Author_Institution :
NUI Maynooth, Maynooth
fDate :
7/1/2007 12:00:00 AM
Abstract :
We consider the problem of common linear copositive Lyapunov function existence for positive switched linear systems. In particular, we present a necessary and sufficient condition for the existence of such a function for switched systems with two constituent linear time-invariant systems. Several applications of this result are also given.
Keywords :
Lyapunov methods; continuous time systems; linear systems; stability; time-varying systems; linear copositive Lyapunov functions; linear time-invariant systems; stability; switched positive continuous time linear systems; Communication switching; Eigenvalues and eigenfunctions; Linear systems; Lyapunov method; Power generation economics; Power system economics; Stability; Sufficient conditions; Switched systems; Systems biology; Copositive Lyapunov functions; positive linear systems; switched linear systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.900857
