Controllability of linear convex combination of linear discrete-time fractional systems

TitleControllability of linear convex combination of linear discrete-time fractional systems
Publication TypeJournal Article
Year of Publication2022
AuthorsKaczorek T, Klamka J, Dzieliński A
JournalBulletin of the Polish Academy of Sciences: Technical Sciences
Keywordscontrollability, fractional order systems, linear convex combination

In this paper the controllability properties of the convex linear combination of fractional, linear, discrete-time systems are characterized and investigated. The notions of linear convex combination and controllability in the context of fractional-order systems are recalled. Then, the controllability property of such a linear combination of discrete-time, linear fractional systems is proven. Further, the reduction of an infinite problem of transition matrix derivation is reduced to a finite one, which greatly simplifies the numerical burden of the controllability issue. Examples of controllable and uncontrollable, single-input, linear systems are presented. The possibility of extension of the considerations to multi-input systems is shown.



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Data aktualizacji: 20/12/2022 - 14:41; autor zmian: Jarosław Miszczak (