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Robust Finite-Time Stability and Stabilization of a Class of Fractional-Order Switched Nonlinear Systems

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Abstract

This paper deals with the problem of finite-time boundedness and finite-time stabilization boundedness of fractional-order switched nonlinear systems with exogenous inputs. By constructing a simple Lyapunov-like function and using some properties of Caputo derivative, the authors obtain some new sufficient conditions for the problem via linear matrix inequalities, which can be efficiently solved by using existing convex algorithms. A constructive geometric is used to design switching laws amongst the subsystems. The obtained results are more general and useful than some existing works, and cover them as special cases, in which only linear fractional-order systems were presented. Numerical examples are provided to demonstrate the effectiveness of the proposed results.

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Authors and Affiliations

  1. Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Viet Thuan Mai

  2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Viet Thuan Mai

  3. Department of Mathematics, Quynhon University, Binhdinh, Vietnam

    Cong Huong Dinh

Authors
  1. Viet Thuan Mai
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  2. Cong Huong Dinh
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Correspondence to Viet Thuan Mai.

Additional information

The research of DINH Cong Huong is funded by the Ministry of Education and Training of Vietnam under Grant No. TN-487, led by Assoc. Prof. Phan Thanh Nam, Quy Nhon University, Decision number 5650/QD-BGDDT 28/12/2018.

This paper was recommended for publication by Editor SUN Jian.

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Mai, V.T., Dinh, C.H. Robust Finite-Time Stability and Stabilization of a Class of Fractional-Order Switched Nonlinear Systems. J Syst Sci Complex 32, 1479–1497 (2019). https://doi.org/10.1007/s11424-019-7394-y

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  • DOI: https://doi.org/10.1007/s11424-019-7394-y

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