This letter addresses a robust adaptive control for the synchronization method based on a modified polynomial observer (slave system) which tends to follow exponentially the chaotic Colpitts circuits brought back to a topology of the Chua oscillator (master system) with perturbations. The...

This paper presents fuzzy model-based design for control and synchronization of chaotic systems. In this framework, the chaotic systems are exactly reproduced based on a Takagi–Sugeno (T–S) fuzzy model. Then the fuzzy controllers for control and synchronization are designed using the...

The main purpose of this paper is to state some sufficient conditions for global synchronization of chaotic maps. The synchronization is viewed as a state reconstruction problem which is tackled by polytopic observers. Unlike most standard observers, polytopic observers can account for a special...

This paper addresses the problem of chaos synchronization from a control theoretic point of view. The main idea is to construct an augmented dynamical system from the synchronization error system, which is itself uncertain. A new dynamic output feedback is applied to perform synchronization in...

Nonlinear control theory is successfully extended to fractional-order Chen systems to achieve synchronization. The corresponding fraction-order numerical algorithms are established. The analytical results are derived based on the Laplace transformation theory. Moreover, numerical simulations are...

In this paper, we propose a controller based on active sliding mode theory to synchronize chaotic fractional-order systems in master–slave structure. Master and slave systems may be identical or different. Based on stability theorems in the fractional calculus, analysis of stability is...

We study the synchronization of time-delayed nonidentical maps subject to unidirectional (master–slave) coupling. The individual dynamics of the maps have a delay n1, and the coupling acts with a delay n2. We show analytically that, suitably tuning the slave map parameters, two distinct...

Recently, it has been demonstrated that many large-scale complex dynamical networks display a collective synchronization motion. Here, we introduce a time-varying complex dynamical network model and further investigate its synchronization phenomenon. Based on this new complex network model, two...

We study the synchronization of two chaotic maps with unidirectional (master–slave) coupling. Both maps have an intrinsic delay n1, and coupling acts with a delay n2. Depending on the sign of the difference n1−n2, the slave map can synchronize to a future or a past state of the master...

In this paper, the transition of synchronizing path of delay-coupled chaotic oscillators in a scale-free network is highlighted. Mainly, through the critical transmission delay makes chaotic oscillators be coupled on the edge of stability, we find that the transition of synchronizing path is...