Impulsive control of projective synchronization in chaotic systems

The impulsive control synchronization of the drive-response complex system

“…In Ref. [6], Hu et al proposed the projective synchronization of the chaotic systems based on the impulsive control, which is easy to direct the scaling factor to a desired value. To the best of our knowledge, the impulsive control projective synchronization of the drive-response dynamical network has not been studied.…”

Synchronization Control for Nonlinear Stochastic Dynamical Networks: Pinning Impulsive Strategy

“…Remark 8: According to the property of the impulsive control, one knows that if μ = −1, the error state of the controlled system becomes zero immediately after the impulsive controller. Hence the impulsive interval can be +∞ when μ = −1 [40], [41]. However, since only a small fraction of nodes is controlled at each impulsive instant t k , the error states of the controlled nodes would become nonzero due to the interconnections with some other uncontrolled nodes even for μ = −1.…”

Adaptive H<SUB align="right">&infin; synchronisation of two different general chaotic systems with external disturbances

“…(Kocarev and Parlitz, 1995;Lakshmanan and Murali, 1996;Chen and Dong, 1998;Blasius et al, 1999;Chen, 2000;Chen et al, 2003;Gonzalo et al, 2004). Over the last years, many methods and techniques for chaos control and synchronisation have been produced, such as OGY method (Grebogi and Yorke, 1990), PC method (Pecora and Carroll, 1990), feedback approach (Tu et al, 2009), adaptive method (Tu and Lu, 2005;Lin and Yan, 2009;Wang and Sun, 2011), impulse approach (Hu et al, 2008), backstepping design technique (Wu and Lu, 2003), sliding mode method (Wang et al, 2009), active control (Ho and Hung, 2002), H ∞ control (Sun et al, 2008;Mahmoud and Emara-Shabaik, 2011;Lin et al, 2011) and non-linear control (Huang et al, 2004).…”