Characterization of AE solution sets of parametric linear systems based on the techniques of convex sets

Characterization of AE solution sets of parametric linear systems based on the techniques of convex sets

New approach to linear systems with uncertain parameters is proposed. The notion of AE solution sets is extended to the case when the domain of parameters need not be an interval vector. The tools from the theory of convex sets are applied to the characterization of AE solution sets. The description...

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Veröffentlicht in:Linear algebra and its applications 2017-11, Vol.533, p.468-490
Hauptverfasser: Rzeżuchowski, T., Wa̧sowski, J.
Format: Artikel
Sprache:eng
Schlagworte:
AE solution set
Convex analysis
Convex set
Convexity
Linear algebra
Linear parametric system
Linear systems
Minkowski sum
Parameter uncertainty
Polytope
Polytopes
Support function
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Zusammenfassung:New approach to linear systems with uncertain parameters is proposed. The notion of AE solution sets is extended to the case when the domain of parameters need not be an interval vector. The tools from the theory of convex sets are applied to the characterization of AE solution sets. The description of these sets by systems of inequalities is presented. Some examples are included.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2017.07.035