Robust stability and stabilization of fractional-order linear systems with nonlinear uncertain parameters: An LMI approach

Sheng Yan Xing and Jun Guo Lu

Chaos, Solitons & Fractals, 2009, vol. 42, issue 2, 1163-1169

Abstract: This paper investigates the stability and stabilization problem of fractional-order linear systems with nonlinear uncertain parameters, which allow second-order uncertain parameters. The uncertainty in the fractional-order model appears in the form of a combination of additive uncertainty and multiplicative uncertainty. It is shown that the fractional-order model has a strong practical background. Sufficient conditions for the stability and stabilization of such fractional-order model are presented in terms of linear matrix inequalities. Two examples are given to show the effectiveness of the proposed results.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:2:p:1163-1169

DOI: 10.1016/j.chaos.2009.03.017

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