Jin, Aiyun; Mao, Beixing; Wang, Dongxiao Self-adaptive sliding mode synchronization of fractional-order uncertain chaotic Tang system. (Chinese. English summary) Zbl 1488.93100 Math. Pract. Theory 51, No. 14, 247-252 (2021). Summary: Self-adaptive sliding mode synchronization of fractional-order uncertain chaotic Tang system was studied in the paper. The sufficient conditions were arrived for fractional-order uncertain chaotic system based on fractional-order stability theory and self-adaptive sliding mode methods. The conclusion of fractional-order chaotic Tang system was extended to integer-order Tang systems. The conclusion was proved to be correct using numerical simulation examples. MSC: 93C40 Adaptive control/observation systems 93B12 Variable structure systems 26A33 Fractional derivatives and integrals 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior Keywords:fractional-order chaotic system; sliding mode synchronization; self-adaptive method PDFBibTeX XMLCite \textit{A. Jin} et al., Math. Pract. Theory 51, No. 14, 247--252 (2021; Zbl 1488.93100)