Abstract:
In this paper we derive algebraic conditions that are both necessary and sufficient for a pair of stable third order linear time-invariant (LTI) systems to have a common ...Show MoreMetadata
Abstract:
In this paper we derive algebraic conditions that are both necessary and sufficient for a pair of stable third order linear time-invariant (LTI) systems to have a common quadratic Lyapunov function (CQLF). We also show how these results can be extended to derive necessary and sufficient conditions for the existence of a CQLF for pairs of LTI systems of arbitrary order.
Published in: Proceedings of the 2004 American Control Conference
Date of Conference: 30 June 2004 - 02 July 2004
Date Added to IEEE Xplore: 02 May 2005
Print ISBN:0-7803-8335-4
Print ISSN: 0743-1619