In the present paper, we implement a novel numerical method for solving differential
equations with fractional variable-order in the Caputo sense to research the dynamics of a …

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 …

This paper addresses the problem of global fixed-time synchronization of two fractional
chaotic systems with different dimensions in the presence of matched bounded and …

We apply the active sliding mode control technique to realize the modified projective
synchronization of the chaotic systems. The disturbances are considered both in the drive …

This paper defines a new surface in an active sliding mode to synchronize two chaotic
systems with parametric uncertainty. To verify the capability of the proposed scheme, signals …

In this paper, we demonstrate that anti-synchronization can coexist in two different
hyperchaotic systems with terms of parametric uncertainty and external disturbances using …

This paper is concerned with the synchronization problem for a class of hyperchaotic chaotic
systems. Using sliding mode control approach and backstepping control, a robust control …

In this paper we investigate the dynamic behavior of a nonautonomous fractional-order
biological system. With the stability criterion of active nonlinear fractional systems, the …

In industrial applications, the performance of robot manipulators is always affected due to
the presence of uncertainties and disturbances. This paper proposes a novel adaptive …

针对不同结构混沌系统的同步与反同步问题进行了研究. 在系统参数已知时,
采用主动控制法实现混沌系统的同步与反同步, 并将主动控制器的设计方法进行了推广 …