Fractal and Fractional (May 2022)

Finite-Time Projective Synchronization and Parameter Identification of Fractional-Order Complex Networks with Unknown External Disturbances

  • Shuguo Wang,
  • Song Zheng,
  • Linxiang Cui

DOI
https://doi.org/10.3390/fractalfract6060298
Journal volume & issue
Vol. 6, no. 6
p. 298

Abstract

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This paper is devoted to exploring the finite-time projective synchronization (FTPS) of fractional-order complex dynamical networks (FOCDNs) with unknown parameters and external disturbances. Based on the stability theory of fractional-order differential systems, synchronization criteria between drive-response networks were obtained and both the uncertain parameters and external disturbances were identified or conquered simultaneously. Moreover, the upper limit of the settling-time function was obtained. Finally, a numerical example was given to verify the effectiveness of the results.

Keywords