Robustness Analysis of a Type of Iterative Algorithm for R-L Fractional Nonlinear Control Systems in the Sense of    L   p    Norm | Zendy

Yanfang Li | Zendy; Xianghu Liu | Zendy; Guangjun Xu | Zendy

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Robustness Analysis of a Type of Iterative Algorithm for R-L Fractional Nonlinear Control Systems in the Sense of

L_{p}

Norm

Author(s) -

Yanfang Li,

Xianghu Liu,

Guangjun Xu

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6661543

Subject(s) - robustness (evolution) , laplace transform , nonlinear system , algorithm , mathematics , mathematical analysis , biochemistry , chemistry , physics , quantum mechanics , gene

The paper is concerned with the robustness analysis of a type of iterative algorithm for R-L fractional nonlinear control systems in the sense of L p norm. Firstly, according to the Laplace transform and M-L function, the concept of mild solutions of the system is derived. Secondly, we give the sufficient conditions of robustness analysis of the P D α -type ILC algorithm with uncertain disturbances and then study the robust analysis of the second-order P D α -type ILC algorithm. At last, two fractional examples are given to demonstrate the results.

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