Generalized intermittent control and its adaptive strategy on stabilization and synchronization of chaotic systems

Pinning synchronization of complex delayed dynamical networks via generalized intermittent adaptive control strategy

“…Hence, a novel and generalized intermittent adaptive pinning control strategy has been provided to realize the global synchronization of complex delayed dynamical networks. This is to say, this article solves the open question mentioned in other works . Different from previous works, the intermittent adaptive pinning control strategy, which relied on the state information of the controlled node, is more general and more practical than those in the existing works.…”

“…Hence, time delays should be taken into account in realistic modeling of dynamical networks. Otherwise, time delays were not considered in other works . In this paper, by establishing piecewise auxiliary function, piecewise analysis technique, and constructing novel generalized adaptive intermittent control, the synchronization of delayed dynamical networks has been realized.…”

“…For the sake of driving the networks to achieve synchronization, the proper controllers are designed. Up to now, many typical and useful control methods have been proposed, such as adaptive control, feedback control, pinning control, intermittent control, event‐triggered control, and impulsive control …”

“…For the sake of driving the networks to achieve synchronization, the proper controllers are designed. Up to now, many typical and useful control methods have been proposed, such as adaptive control, 9,10 feedback control, 11,12 pinning control, 13,14 intermittent control, 15,16 event-triggered control, 17,18 and impulsive control. 19,20 Recently, as discontinuous control approach, intermittent control has attracted increasing interest naturally in a variety of applications because this control method is more economic and can reduce the amount of the transmitted information.…”

“…Compared with impulsive control, intermittent control is easier to be implemented because it may be more reasonable to achieve control process in some time intervals other than some time instants in real control application. The intermittent controller has been successfully applied to stabilize and synchronize neural networks, 21,22 complex networks, [13][14][15][16][23][24][25] and chaotic systems 9,26 in recent decades. Nevertheless, periodic intermittent control may be inadequate in the practical application and may cause unreasonable and unnecessary results.…”