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W4232110263 abstract "Fractional order system, as a generalization of the classical integer order system, has attracted increasing attention during the past several decades, due to its prominent advantages. In recent literatures, some strange properties are reported, such as i) the existence of non-constant periodic solutions in fractional order systems is impossible; ii) there does not exist an integer order system whose solution is equivalent to that of fractional order systems and iii) the equilibrium of fractional order systems cannot be finite-time stable. Our investigation clearly shows that the three mentioned properties are not really non-existent. These mistakes are demonstrated by counterexamples." @default.
W4232110263 created "2022-05-12" @default.
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W4232110263 date "2021-10-22" @default.
W4232110263 modified "2023-09-29" @default.
W4232110263 title "Some counterexamples on the non-existence of period solution, solution equivalence and finite-time stable equilibria for fractional order systems" @default.
W4232110263 doi "https://doi.org/10.1109/cac53003.2021.9727355" @default.
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