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Local controllability of nonlinear discrete-time fractional order systems

Mozyrska D., Pawłuszewicz E.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2013

Vol. 61, nr 1

251-256

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.