Impulsive synchronization of Lorenz systems

Impulsive stabilization and synchronization of uncertain financial hyperchaotic systems

“…What is more important, impulsive control allows synchronization between chaotic systems only by small impulses being sent to the received systems at the discrete impulsive instances and DOI: 10.14736/kyb-2016-2-0241 which can reduce the information redundancy in the transmitted signal and increase robustness against the disturbances. Recently, impulsive control and synchronization of chaotic systems have been deeply studied, and many valuable results have been obtained ( [6,11,12,25,26,27,31]). Yang and Chua ( [25]) presented a theory of impulsive synchronization of two chaotic systems and a promising application of impulsive synchronization of chaotic systems to a secure digital communication scheme.…”

“…Yang and Chua ( [25]) presented a theory of impulsive synchronization of two chaotic systems and a promising application of impulsive synchronization of chaotic systems to a secure digital communication scheme. Yang et al used the theory of comparison system and impulsive differential equations to study the stabilization and synchronization of Lorenz system in ( [26]) and ( [27]), respectively. Itoh et al ( [11]) presented some experimental results on impulsive synchronization of chaotic circuits, which suggests that various applications of impulsive control and synchronization of chaotic system are feasible.…”

Impulsive control and synchronization of spatiotemporal chaos

“…The theory of impulsive ordinary differential equations and its applications to the fields of science and engineering have been very active research topics [28][29][30][43][44][45], since the theory provides a natural framework for mathematical modeling of many physical phenomena. Furthermore, impulsive control, which is based on the theory of impulsive differential equations, has gained renewed interests recently for its promising applications towards controlling systems exhibiting chaotic behaviour.…”

“…In [34,40,41,44], two autonomous chaotic ordinary differential systems, the drive system and the response system, have been considered for impulsive synchronization. Samples of the state variables of the drive system at discrete time instances are used to drive the response system.…”

Impulsive Synchronization of Chaotic Lur'e Systems by Measurement Feedback

“…Recently, methods for synchronization of nonlinear systems have been proposed which make use of impulsive control laws [Yang & Chua, 1997aYang et al, 1997;Stojanovski et al, 1996Stojanovski et al, , 1997. In this way the error system of the synchronization scheme is stabilized using small control impulses.…”