Paper Info
Title
A Conjecture On The Existence Of Common Quadratic Lyapunov Functions For Positive Linear Systems
Abstract
We present a conjecture concerning necessary and sufficient conditions for the existence of a common quadratic Lyapunov function (CQLF) for a switched linear system obtained by switching between two positive linear time-invariant (LTI) systems. We conjecture that these conditions are also necessary and sufficient for the exponential stability of such switched linear systems; namely, the existence of a CQLF is a non-conservative stability condition in this case. A number of new results supporting this conjecture are described.
Year
DOI
Venue
2003
10.1109/ACC.2003.1240544
PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6
Keywords
DocType
ISSN
stability,control systems,linear time invariant,exponential stability,asymptotic stability,linear systems,linear system,lyapunov function
Conference
0743-1619
Citations 
PageRank 
References 
12
2.07
2
Authors
2
Name
Order
Citations
PageRank
Oliver Mason110712.58
Robert Shorten229360.79