Abstract
Some notes are presented on the paper “Finite-Time Control of Uncertain Fractional-Order Positive Impulsive Switched Systems with Mode-Dependent Average Dwell Time ” by Liu L. et al (Circuit Syst Signal Processing 37: 3739–3755, 2018). Fractional calculus has the memory property and this is relevant to the whole process from the initial value \(t_{0}\) to the current time t. However, this important property is neglected in the above paper, and consequently, the main outcome is incorrect. A counter example is presented to verify our analysis.
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References
L. Liu, X. Cao, Z. Fu, S. Song, H. Xing, Finite-time control of uncertain fractional-order positive impulsive switched systems with mode-dependent average dwell time. Circuit Syst. Signal Process. 37(9), 3739–3755 (2018)
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This work was supported by the National Natural Science Foundation of China under Grant No. 61304062.
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Zhao, L. Comments on “Finite-Time Control of Uncertain Fractional-Order Positive Impulsive Switched Systems with Mode-Dependent Average Dwell Time”. Circuits Syst Signal Process 39, 6394–6397 (2020). https://doi.org/10.1007/s00034-020-01516-5
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DOI: https://doi.org/10.1007/s00034-020-01516-5