BIBO stability of fractional-order controlled nonlinear systems

Song Liang, Ranchao Wu and Liping Chen

International Journal of Systems Science, 2017, vol. 48, issue 7, 1507-1514

Abstract: The 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.

Date: 2017
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DOI: 10.1080/00207721.2016.1269219

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