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• W3172199678 abstract "In this paper, robust finite-time synchronization (F-TS) issue is addressed for a class of uncertain fractional-order quaternion-valued neural networks by employing non-separation method instead of separation method. First, a general fractional differential inequality is developed to provide new insight into the research about finite-time stability and synchronization of fractional-order systems. Next, quaternion-valued feedback controller and quaternion-valued adaptive controller are designed. On the basis of the newly developed inequality, quaternion inequality techniques, together with the properties of fractional calculus and reduction to absurdity, some easily-verified algebraic criteria for robust F-TS are established, and the settling time for robust F-TS is explicitly reckoned, which depends on not only the controller parameters but also the initial values and order of the considered systems. Eventually, numerical results are provided to substantiate our robust F-TS criteria." @default.
• W3172199678 created "2021-06-22" @default.
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• W3172199678 date "2021-11-01" @default.
• W3172199678 modified "2023-10-14" @default.
• W3172199678 title "Non-separation method-based robust finite-time synchronization of uncertain fractional-order quaternion-valued neural networks" @default.
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• W3172199678 doi "https://doi.org/10.1016/j.amc.2021.126377" @default.
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