This paper describes the design of sliding mode controller for the global chaos synchronization of identical Rucklidge chaotic systems (Rucklidge, 1992). Rucklidge chaotic system is one of the paradigms of threedimensional chaotic systems. The stability results derived in this paper for the complete synchronization of the identical Rucklidge chaotic systems via sliding mode control are establis...

In recent years, the study of synchronization of identical chaotic systems subjected to a common fluctuating random driving signal has drawn considerable interest. In this communication, we report that it is possible to achieve synchronization between two identical chaotic systems, which are not coupled directly but subjected to an external chaotic signal. The external chaotic signal may be obt...

In this paper, we investigate the stabilization of unstable periodic orbits of continuous time chaotic systems usingfuzzy time-delayed controllers. For this aim, we present a control method that can achieve stabilization of an unstableperiodic orbit (UPO) without any knowledge of the system model. Our proposal is attained progressively. First, wecombine the input-to-state linearizing controller...

In this paper, we report a common phenomenon observed in chaotic systems linked by time delay. Recently, the Lorenz chaotic system has been extended to the family of Lorenz systems which includes the Chen and Lü systems. These three chaotic systems, corresponding to different sets of system parameter values, are topologically different. With the aid of numerical simulations, we have surprisingl...

this paper introduces a technique for controlling a class of uncertain chaotic systems using an adaptive fuzzy proportional-integrator-derivative (pid) controller with h∞ tracking performance. the purpose of this work is to achieve optimal tracking performance of the controller using backtracking search algorithm (bsa). bsa, which is a novel heuristic algorithm, has an easy structure with singl...

In the recent years, researchers developed image encryption methods based on chaotic systems. This paper proposed new image encryption technique based on new chaotic system by adding two chaotic systems: the Lorenz chaotic system and the Rössler chaotic system. The main advantage of this technique is stronger security, as is shown in the encryption tests.

Chaos synchronization of coupled fractional order differential equation is receiving increasing attention because of its potential applications in secure communications and control processing. The aim of this paper is synchronization between two identical or different delay fractional-order chaotic systems in finite time. At first, the predictor-corrector method is used to obtain the solutions ...

In this paper a hybrid passivity based and fuzzy type-2 controller for chaotic and hyper-chaotic systems is presented. The proposed control strategy is an appropriate choice to be implemented for the stabilization of chaotic and hyper-chaotic systems due to the energy considerations of the passivity based controller and the flexibility and capability of the fuzzy type-2 controller to deal with ...

Adaptive control technique is used to design suitable controllers to synchronize two different coupled chaotic systems with uncertainties. The information signal hidden in chaotic signal is transmitted and then successfully recovered at the receiver once synchronization is achieved. Different chaotic systems with uncertainties are chosen respectively as the transmitter and receiver systems to e...