Robust Stability Analysis of Nonlinear Fractional-Order Time-Variant Systems | Zendy

Caixue Chen | Zendy; Yunxiang Xie | Zendy

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Robust Stability Analysis of Nonlinear Fractional-Order Time-Variant Systems

Author(s) -

Caixue Chen,

Yunxiang Xie

Publication year - 2014

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 - 10.1155/2014/428143

Subject(s) - algorithm , stability (learning theory) , lemma (botany) , nonlinear system , computer science , mathematics , machine learning , physics , ecology , poaceae , quantum mechanics , biology

This paper presents a stability theorem for a class of nonlinear fractional-order time-variant systems with fractional order by using the Gronwall-Bellman lemma. Based on this theorem, a sufficient condition for designing a state feedback controller to stabilize such fractional-order systems is also obtained. Finally, a numerical example demonstrates the validity of this approach.

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