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

Chen Caixue and Xie Yunxiang

Mathematical Problems in Engineering, 2014, vol. 2014, 1-6

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:428143

DOI: 10.1155/2014/428143

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