Online Synchronization of Uncertain Chaotic Systems by Artificial Bee Colony Algorithm in a Non-Lyapunov Way

Abstract

This paper is concerned with online synchronization problem for uncertain discrete chaotic systems. An artificial bee colony (ABC) algorithm approach is newly introduced to solve this problem in a non-Lyapunov way. The feedback control factors' resolving is converted to a series of multi-modal nonnegative functions' minimization, whose minimums can be optimally determined by ABC. The classical Henon systems with different initials are used in respectively, in the conditions that the systematic parameters are different and uncertain, to show the validity of the proposed method.