This paper deals with designing a sliding mode controller (SMC) for a fractional-order chaotic financial system. Using the sliding mode control technique, a sliding surface is determined. The sliding mode control law is derived to make the states of the fractional-order financial system...

In this paper, based on the idea of nonlinear observer and stability theory of fractional-order systems, a new systematic scheme to synchronize a class of fractional-order chaotic systems via a scalar transmitted signal is developed. The approach is simple, global and theoretically rigorous. It...

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...

This paper presents an algorithm for synchronizing two different chaotic systems by using a combination of Unscented Kalman–Bucy Filter (UKBF) and sliding mode controller. It is assumed that the drive chaotic system is perturbed by white noise and shows stochastic chaotic behavior. In addition...

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...

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...