Generalized projective synchronization of two coupled complex networks of different sizes *Li Ke-Zan(李科赞) a) † , He En(何 恩) a) , Zeng Zhao-Rong(曾朝蓉) b) , and Chi K. Tse(谢智刚) c)
Global stability of a susceptible-infected-susceptible epidemic model on networks with individual awareness *Li Ke-Zan(李科赞) a) , Xu Zhong-Pu(徐忠朴) a) , Zhu Guang-Hu(祝光湖) a) , and Ding Yong(丁 勇) a)b) †
In this paper, successive lag synchronization (SLS) on a dynamical network with communication delay is investigated. In order to achieve SLS on the dynamical network with communication delay, we design linear feedback control and adaptive control, respectively. By using the Lyapunov function method, we obtain some sufficient conditions for global stability of SLS. To verify these results, some numerical examples are further presented. This work may find potential applications in consensus of multi-agent systems.
We introduce a new consensus pattern, named a successive lag cluster consensus (SLCC), which is a generalized pattern of successive lag consensus (SLC). By applying delay-dependent impulsive control, the SLCC of first-order and second-order multi-agent systems is discussed. Furthermore, based on graph theory and stability theory, some sufficient conditions for the stability of SLCC on multi-agent systems are obtained. Finally, several numerical examples are given to verify the correctness of our theoretical results.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.