Characterization of AE solution sets to a class of parametric linear systems (Q2844632)
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scientific article; zbMATH DE number 6203046
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of AE solution sets to a class of parametric linear systems |
scientific article; zbMATH DE number 6203046 |
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29 August 2013
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linear systems
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quantified interval parameters
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solution set
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numerical examples
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Characterization of AE solution sets to a class of parametric linear systems (English)
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This paper deals with linear systems involving affine-linear dependencies between interval parameters and the quantified parametric solution where all universally quantified parameters precede all existentially quantified ones. The authors obtain general AE parametric solution sets and give a set-theoretical description of such solutions. Moreover, necessary conditions are presented in order these solution sets to be nonempty. Explicit description of the AE solution sets are provided for a class of parametric linear systems. Numerical simulations illustrate the obtained theoretical results.
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