Affiliation:
1. School of Artificial Intelligence and Computer Science, Jiangnan University, Wuxi 214122, P. R. China
2. School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou 215009, P. R. China
Abstract
This investigation concerns the phase agreement (PA) for identical Kuramoto oscillators and frequency synchronization (FS) for nonidentical oscillators within fixed-time (FxT) in noisy environments. Comparing with the conventional FxT controllers, this investigation picks the smooth control protocol for stripping the signum function out, which could improve the synchronizing performance of networked systems. Furthermore, due to the ubiquity of stochastic perturbation, this investigation takes the noise into consideration. Additionally, the synchronizing criteria are deduced for realizing the FxT phase-FS in probability, and meanwhile the time estimation (TE) of realizing synchronization is given. At last, simulation results not only validate the correction of theoretical analysis, but also indicate that PA is more robust to stochastic disturbance, whereas FS of oscillators is relatively sensitive.
Funder
National Natural Science Foundation of China
Jiangsu Shuangchuang Doctors Talent Program
Publisher
World Scientific Pub Co Pte Ltd
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics
Cited by
4 articles.
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