Inner Estimation of Linear Parametric Ae-solution Sets
نویسنده
چکیده
Abstract We consider linear algebraic systems A(p)x = b(p), where the elements of the matrix and the right-hand side vector are linear functions of uncertain parameters varying within given intervals. For the parametric AE-solution set defined for two disjoint index sets A, E by ΣpAE := {x ∈ R n | (∀pA ∈ [pA]) (∃pE ∈ [pE ])(A(p)x = b(p))}, an inner interval estimation [y] ⊆ Σ p AE is sought. In the special case when ΣpAE has linear shape, this paper gives parametric generalization of the so-called centred approach, which was developed so far only for tolerable solution sets.
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