Local controllability of nonlinear discrete-time fractional order systems

• Autorzy: Mozyrska D. , Pawłuszewicz E.
• Języki publikacji: EN

Abstrakty

EN

The Riemann-Liouville, Caputo and Gr¨unwald-Letnikov fractional order difference operators are discussed and used to state and solve the controllability problem of a nonlinear fractional order discrete-time system. It is shown that independently of the type of fractional order difference, such a system is locally controllable in q steps if its linear approximation is globally controllable in q steps.

Słowa kluczowe

EN

fractional difference operator; fractional difference initial value problem; nonlinear fractional order system; linear approximation; controllability problem

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2013
• Tom: Vol. 61, nr 1
• Strony: 251--256
• Opis fizyczny: Bibliogr. 21 poz., rys., tab.

Twórcy

autor

Mozyrska D.

autor

Pawłuszewicz E.

• Faculty of Computer Science, Bialystok University of Technology, 45A Wiejska St., 15-351 Białystok, Poland

Bibliografia

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