Fixed/Preassigned-Time Synchronization of Complex Networks via Improving Fixed-Time Stability
Date of Original Version
This article is concerned with the problem of fixed-time (FXT) and preassigned-time (PAT) synchronization for discontinuous dynamic networks by improving FXT stability and developing simple control schemes. First, some more relaxed conditions for FXT stability are established and several more accurate estimates for the settling time (ST) are obtained by means of some special functions. Based on the improved FXT stability, FXT synchronization for discontinuous networks is discussed by designing a simple controller without a linear feedback term. Besides, the PAT synchronization is also explored by developing several nontrivial control protocols with finite control gains, where the synchronized time can be prespecified according to actual needs and is irrelevant with any initial value and any parameter. Finally, the improved FXT stability and the synchronization for complex networks are confirmed by two numerical examples.
IEEE Transactions on Cybernetics
Hu, Cheng, Haibo He, and Haijun Jiang. "Fixed/Preassigned-Time Synchronization of Complex Networks via Improving Fixed-Time Stability." IEEE Transactions on Cybernetics 51, 6 (2021): 2882-2892. doi:10.1109/TCYB.2020.2977934.