Abstract
This paper presents the problems of robust asymptotic stability of fractional-order discrete-time linear systems with uncertainty. It is assumed that the system matrix is the interval matrix and the fractional order \(\alpha \) satisfies \(0< \alpha < 1\). The new robust stability conditions are given based on the matrix measure and Gershgorin’s theorem for the interval matrices. The considerations are illustrated by numerical examples.
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Acknowledgement
This work was supported by the National Science Centre in Poland under the work No. 2014/13/B/ST7/03467.
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Ruszewski, A. (2017). Robust Stability of a Class of an Uncertain Fractional Discrete-Time Linear State-Space System. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2017. ICA 2017. Advances in Intelligent Systems and Computing, vol 550. Springer, Cham. https://doi.org/10.1007/978-3-319-54042-9_18
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