Finite-time H∞ control of uncertain fractional-order neural networks

The problem of finite-time H ∞ control for uncertain fractional-order neural networks is investigated in this paper. Using finite-time stability theory and the Lyapunov-like function method, we first derive a new condition for problem of finite-time stabilization of the considered fractional-order n...

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Bibliographic Details
Published in:Computational & applied mathematics 2020-05, Vol.39 (2), Article 59
Main Authors: Thuan, Mai Viet, Sau, Nguyen Huu, Huyen, Nguyen Thi Thanh
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Computer simulation
Feedback control
H-infinity control
Linear matrix inequalities
Mathematical analysis
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Neural networks
Stabilization
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Summary:The problem of finite-time H ∞ control for uncertain fractional-order neural networks is investigated in this paper. Using finite-time stability theory and the Lyapunov-like function method, we first derive a new condition for problem of finite-time stabilization of the considered fractional-order neural networks via linear matrix inequalities (LMIs). Then a new sufficient stabilization condition is proposed to ensure that the resulting closed-loop system is not only finite-time bounded but also satisfies finite-time H ∞ performance. Three examples with simulations have been given to demonstrate the validity and correctness of the proposed methods.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-020-1069-0