Exponential ultimate boundedness of fractional-order differential systems via periodically intermittent control

This article investigates the exponential ultimate boundedness of fractional-order differential systems via periodically intermittent control. By utilizing the Lyapunov function method and the monotonicity of the Mittag-Leffler function along with the periodically intermittent controller, several su...

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Bibliographic Details
Published in:Nonlinear dynamics 2019-04, Vol.96 (2), p.1665-1675
Main Authors: Xu, Liguang, Liu, Wen, Hu, Hongxiao, Zhou, Weisong
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Control systems
Dynamical Systems
Engineering
Liapunov functions
Mechanical Engineering
Neural networks
Original Paper
Vibration
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Summary:This article investigates the exponential ultimate boundedness of fractional-order differential systems via periodically intermittent control. By utilizing the Lyapunov function method and the monotonicity of the Mittag-Leffler function along with the periodically intermittent controller, several sufficient conditions ensuring the exponential ultimate boundedness of the addressed systems are obtained. An example is given to explain the obtained results.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-019-04877-y