Explicit Description of AE Solution Sets for Parametric Linear Systems
نویسندگان
چکیده
منابع مشابه
Explicit Description of AE Solution Sets for Parametric Linear Systems
Consider linear systems whose input data are linear functions of uncertain parameters varying within given intervals. We are interested in an explicit description of the so-called AE parametric solution sets (where all universally quantified parameters precede all existentially quantified ones) by a set of inequalities not involving the parameters. This work presents how to obtain explicit desc...
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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...
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ژورنال
عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications
سال: 2012
ISSN: 0895-4798,1095-7162
DOI: 10.1137/120870359