Stabilization of fractional-order coupled systems with time delay on networks

Stabilization problem for a class of fractional-order nonlinear coupled systems on networks is addressed in the paper. By using Kirchhoff’s matrix tree theory and comparison principle, a state feedback control law is presented to stabilize such systems. The controller design approach could be adapte...

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Bibliographic Details
Published in:Nonlinear dynamics 2017-04, Vol.88 (1), p.521-528
Main Authors: Chen, Liping, Wu, Ranchao, Chu, Zhaobi, He, Yigang
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Control systems design
Control theory
Dynamical Systems
Engineering
Feedback control
Mechanical Engineering
Nonlinear systems
Original Paper
Stabilization
State feedback
Time lag
Vibration
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Summary:Stabilization problem for a class of fractional-order nonlinear coupled systems on networks is addressed in the paper. By using Kirchhoff’s matrix tree theory and comparison principle, a state feedback control law is presented to stabilize such systems. The controller design approach could be adapted to many classes of fractional-order delayed coupled systems in ecology, biology and engineering. An example is presented to illustrate the effectiveness of our proposed method.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-016-3257-4