BIBO stability of fractional-order controlled nonlinear systems. Issue 7 (19th May 2017)

• Record Type: Journal Article
• Authors: Liang, Song; Wu, Ranchao; Chen, Liping
• Is Part Of: International journal of systems science. Volume 48:Issue 7(2017)
• Page Start: 1507
• Page End: 1514
• Publication Date: 2017-05-19
• Subjects: Internal stability -- BIBO stability -- fractional-order system -- fractional financial system -- fractional atmospheric circulation system; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2016.1269219
• Languages: English
• ISSNs: 0020-7721

Abstract

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.