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Self-adaptive sliding mode synchronization of fractional-order uncertain chaotic Tang system. (Chinese. English summary) Zbl 1488.93100

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
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