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A singularity test for the existence of common quadratic Lyapunov functions for pairs of stable LTI systems | IEEE Conference Publication | IEEE Xplore

A singularity test for the existence of common quadratic Lyapunov functions for pairs of stable LTI systems


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 More

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.
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
Conference Location: Boston, MA, USA

References

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