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Balachandran, K.; Govindaraj, V.; Rodríguez-Germa, L.; Trujillo, J. J.

Controllability results for nonlinear fractional-order dynamical systems. (English) Zbl 1263.93029

J. Optim. Theory Appl. 156, No. 1, 33-44 (2013).
Summary: This paper establishes a set of sufficient conditions for the controllability of nonlinear fractional dynamical system of order \(1<\alpha <2\) in finite dimensional spaces. The main tools are the Mittag-Leffler matrix function and Schaefer’s fixed-point theorem. An example is provided to illustrate the theory.

Cited in 39 Documents

MSC:

93B05 Controllability
34A08 Fractional ordinary differential equations
47H10 Fixed-point theorems

Keywords:

controllability; fractional differential equations; Mittag-Leffler matrix function; Schaefer’s fixed-point theorem
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References:

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