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Positive realness of a set of matrix-valued time-varying uncertainties | IEEE Conference Publication | IEEE Xplore

Positive realness of a set of matrix-valued time-varying uncertainties


Abstract:

The manuscript is concerned with characterizations of a set of matrix-valued, time-varying, uncertain multiplication operators. The set of uncertain multiplication operat...Show More

Abstract:

The manuscript is concerned with characterizations of a set of matrix-valued, time-varying, uncertain multiplication operators. The set of uncertain multiplication operators arises from robust stability analysis of systems with aperiodic sampling-and-hold devices, where the sampling periods are assumed to be bounded within a given range. Conditions under which the uncertain operator is positive real are identified. Based on the positive real property, a number of quadratic constraints are derived for the uncertain operator. Such quadratic constraints are proven to be useful in analyzing robustness of aperiodic sampled-data systems against variation of sampling intervals.
Date of Conference: 29 June 2011 - 01 July 2011
Date Added to IEEE Xplore: 18 August 2011
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Conference Location: San Francisco, CA, USA

References

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