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Relative controllability of fractional dynamical systems with multiple delays in control. (English) Zbl 1268.93021

Summary: We are concerned with the global relative controllability of fractional dynamical systems with multiple delays in control for finite dimensional spaces. Sufficient conditions for controllability results are obtained using Schauder’s fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. An example is provided to illustrate the theory.

MSC:

93B05 Controllability
34A08 Fractional ordinary differential equations
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