Robust stability and stabilization of hybrid fractional-order multi-dimensional systems with interval uncertainties: An LMI approach

Zhen Zhu and Jun-Guo Lu

Applied Mathematics and Computation, 2021, vol. 401, issue C

Abstract: The hybrid fractional-order multi-dimensional (N-D) systems described by Roesser model are introduced in this paper. The N-D systems include discrete-time dimensions and fractional-order continuous-time dimensions with fractional-order 0<αi<1. Firstly, some novel sufficient stability conditions for nominal hybrid fractional-order N-D systems are presented. Then, against interval uncertainties, the sufficient conditions for robust stability and stabilization of hybrid fractional-order N-D systems are derived. All the results are in the form of linear matrix inequalities. Finally, illustrative examples are given to verify the validity of our results, and demonstrate that our results are less conservative than the existing ones.

Keywords: Hybrid multi-dimensional systems; Fractional-order systems; Interval uncertainty; Linear matrix inequality; Robust stability; Robust stabilization (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300321001235

DOI: 10.1016/j.amc.2021.126075

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