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Finite-time \(H_{\infty }\) control of uncertain fractional-order neural networks

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Abstract

The problem of finite-time \(H_{\infty }\) 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 \(H_{\infty }\) performance. Three examples with simulations have been given to demonstrate the validity and correctness of the proposed methods.

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Acknowledgements

The authors sincerely thank the Associate Editor and anonymous reviewers for their constructive comments that helped to improve the quality and presentation of this paper. The research of Mai Viet Thuan is funded by Ministry of Education and Training of Vietnam (B2020-TNA).

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Authors and Affiliations

  1. Institute of Research and Development, Duy Tan University, Danang, 550000, Vietnam

    Mai Viet Thuan

  2. Faculty of Fundamental Science, Hanoi University of Industry, 298 Caudien, Hanoi, Vietnam

    Nguyen Huu Sau

  3. Department of Mathematics and Informatics, Thainguyen University of Sciences, Thainguyen, Vietnam

    Mai Viet Thuan & Nguyen Thi Thanh Huyen

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  1. Mai Viet Thuan
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  2. Nguyen Huu Sau
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  3. Nguyen Thi Thanh Huyen
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Correspondence to Mai Viet Thuan.

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Communicated by José Tenreiro Machado.

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Thuan, M.V., Sau, N.H. & Huyen, N.T.T. Finite-time \(H_{\infty }\) control of uncertain fractional-order neural networks. Comp. Appl. Math. 39, 59 (2020). https://doi.org/10.1007/s40314-020-1069-0

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