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Model Validation for Time-Varying Systems: Improved Bounds using the S-Procedure

Auger D.J.

2006

Abstract

This paper considers an approach to linear time-varying and nonlinear model validation put forward by R. S. Smith et al at the 39th IEEE Conference on Decision and Control in which the Yakubovich S-procedure is applied to problems with linear time-varying perturbations. A claimed necessary and sufficient condition for invalidation is shown to be sufficient only, a tighter sufficient condition is put forward, and a similar condition for non-causal perturbations is proposed. This is illustrated by means of a deterministic numerical example.

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BibTex Entry

@Unpublished{auger2006:_mdl_vldn_s_procedure,
author = {Auger D.J.},
title = {Model Validation for Time-Varying Systems: Improved Bounds using the S-Procedure},
bibkey = {auger2006:_mdl_vldn_s_procedure},
year = {2006}
}