Abstract
ABSTRACTThe BIBO stability of fractional-order controlled nonlinear systems is investigated in this paper. By introducing the properties of some Mittag-Leffler functions and using an inequality satisfied by the Caputo derivative of a Lyapunov function, sufficient conditions to guarantee the BIBO stability are firstly presented. Then, the boundedness of solutions of the fractional financial system and the fractional low-order atmospheric circulation system are proved by the established stability results. Besides, two illustrative examples verify the theoretical results.
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