Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient

Abstract EN

This paper addresses the generalized synchronization of stochastic discrete chaotic systems with Poisson distribution coefficient.

Firstly, based on the orthogonal polynomial approximation theory of discrete random function in Hilbert spaces, the discrete chaotic system with random parameter is transformed into its equivalent deterministic system.

Secondly, a general method for the generalized synchronization of discrete chaotic system with random parameter is presented by Lyapunov stability theory and contraction theorem.

Finally, two synchronization examples numerically illustrated that the proposed control scheme is effective for any stochastic discrete system.