Conndence Ellipsoids for Uncertain Linear Equations with Structure Notation S N Denotes the Set of Real, Symmetric Matrices. for a Square Matrix X, X 0 (resp. X 0) Means
نویسنده
چکیده
In this paper we show how to compute, via semideenite programming, ellipsoids of conndence 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 identii-cation of structured, dynamical systems. X is symmetric, and positive-deenite (resp. semidee-nite). For a given matrix M, M y denotes the Moore-Penrose pseudo-inverse, and M ? an orthogonal complement (that is, a matrix Z of maximal rank such that MZ T = 0). ; denotes the ellipsoid of center ^ x and \shape matrix" P.
منابع مشابه
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