Feedback control based on discrete-time state observations on synchronization of stochastic impulsive coupled systems

Liu, Yan; Wang, Ming; Chu, Dianhui; Su, Huan

doi:10.1016/j.nahs.2020.100987

Cited by 23 publications

(1 citation statement)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The synchronization phenomena of a large number of weakly coupled oscillators are very common in natural systems and have been extensively studied by scholars in many fields such as physics and biology (see previous works 35,36 ). Kuramoto models as one of the most popular mathematical models have been studied widely.…”

Section: An Application To Kuramoto Oscillatorsmentioning

confidence: 99%

Synchronization of quaternion‐valued coupled systems with time‐varying coupling via event‐triggered impulsive control

Liu

Lin

2021

Math Methods in App Sciences

Self Cite

View full text Add to dashboard Cite

In this paper, the problem of exponential synchronization of quaternion‐valued coupled systems based on event‐triggered impulsive control is investigated for the first time. It should be pointed out that the coupling strength is quaternion‐valued and time‐varying, which makes our model more in line with practical models. First, we prove that event‐triggered impulsive control can exclude Zeno behavior. Then, based on the Lyapunov method and the graph theory, some sufficient conditions are derived to ensure that quaternion‐valued coupled systems reach synchronization. Furthermore, as an application of our theoretical results, exponential synchronization of quaternion‐valued Kuramoto oscillators is studied in detail and a synchronization criterion is presented. Finally, some numerical simulations are given to show the effectiveness of our theoretical results.

show abstract

Section: An Application To Kuramoto Oscillatorsmentioning

confidence: 99%