In this paper we show how to compute, via semidefinite programming, ellipsoids of confidence for linear equations with structured (unknown-but-bounded) perturbations. Our results are exact in the “unstructured” perturbations case, enabling us to recover in particular the classical case when the perturbation is additive. The approach can be used for example in the identification of structured, dynamical systems

Confidence Ellipsoids for Uncertain Linear Equations with Structure / EL GHAOUI, L; Calafiore, Giuseppe Carlo. - STAMPA. - 2:(1999), pp. 1922-1927. (Intervento presentato al convegno 38th IEEE Conference on Decision and Control tenutosi a Phoenix, AZ nel 07-10 Dec 1999) [10.1109/CDC.1999.830917].

Confidence Ellipsoids for Uncertain Linear Equations with Structure

CALAFIORE, Giuseppe Carlo
1999

Abstract

In this paper we show how to compute, via semidefinite programming, ellipsoids of confidence for linear equations with structured (unknown-but-bounded) perturbations. Our results are exact in the “unstructured” perturbations case, enabling us to recover in particular the classical case when the perturbation is additive. The approach can be used for example in the identification of structured, dynamical systems
1999
0780352505
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1408967
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