Finite-time generalized synchronization of non-identical fractional order chaotic systems and its application in speech secure communication.

ABSTRACT: This paper focuses on the finite-time generalized synchronization problem of non-identical fractional order chaotic (or hyper-chaotic) systems by a designing adaptive sliding mode controller and its application to secure communication. The effects of both disturbances and model uncertainties are taken into account. A novel fractional order integral sliding mode surface is designed and its stability to the origin is proved in a given finite time. By the aid of the fractional Lyapunov stability theory, a robust controller with adaptive update laws is proposed and its finite-time stability for generalized synchronization between two non-identical fractional-order chaotic systems in the presence of model uncertainties and external disturbances is derived. Numerical simulations are provided to

SUBMITTER: Yang J 

PROVIDER: S-EPMC8942225 | biostudies-literature | 2022

REPOSITORIES: biostudies-literature