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Necessary and sufficient conditions for stability of a class of second order switched systems | IEEE Conference Publication | IEEE Xplore

Necessary and sufficient conditions for stability of a class of second order switched systems


Abstract:

For a special class of systems, it is shown that the existence of a common quadratic Lyapunov function (CQLF) is necessary and sufficient for the stability of an associat...Show More

Abstract:

For a special class of systems, it is shown that the existence of a common quadratic Lyapunov function (CQLF) is necessary and sufficient for the stability of an associated switched system under arbitrary switching. Furthermore, it is shown that the existence of a CQLF for N (N > 2) subsystems is equivalent to the existence of a CQLF for every pair of subsystems. An algorithm is proposed to compute a CQLF for the subsystems, when it exists, using the left and right eigenvectors of a critical matrix obtained from a matrix pencil.
Date of Conference: 30 June 2004 - 02 July 2004
Date Added to IEEE Xplore: 24 January 2005
Print ISBN:0-7803-8335-4
Print ISSN: 0743-1619
Conference Location: Boston, MA, USA

References

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