A single-input linear controller for complete synchronization of a delay financial hyperchaotic system

Abstract

This paper is involved with the complete synchronization problems for two identical delay financial hyperchaotic system with different initial conditions, and a simple complete synchronization scheme only with a single linear input is proposed. Based on the Lyapunov stability theory, both linear feedback control and adaptive control approaches is derived to complete synchronization between two nearly identical delay financial hyperchaotic systems with unknown parameters is also studied. Numerical simulation results are showing the effectiveness of the proposed hyperchaotic synchronization method.