Impulsive Control and Synchronization of a New 5D Hyperchaotic System

Abstract

This paper investigates the control and the synchronization of a new 5D hyperchaotic system. Based on the impulsive control theory, some new and less conservative criteria for the global exponential stability and asymptotical stability of impulsively controlled 5D hyperchaotic system, are obtained with varying impulsive interval. Finally, numerical simulations are given to demonstrate the eectiveness of the proposed control and synchronization methodology.

Impulsive Synchronization of Hyperchaotic Lü Systems with Two Methods

“…A time step of size 0.0001(sec.) is employed and fourth-order Runge-Kutta method is used to solve Equation (6) and Equation (7). The initial states of the drive system (6) and the response system (7) …”

“…Numerous researches have been done theoretically and experimentally [3]- [6]. Many approaches have been proposed for chaos synchronization, including feedback method, adaptive synchronization, impulsive synchronization and fuzzy synchronization method [7]- [12]. Because of transmitting signals in discrete times, impulsive synchronization demands less energy.…”