摘要:
研究了处于任意时延非线性动态网络中的时钟振荡器的同步问题. 首先, 提出了一种基于一致性控制策略的动态同步算法, 即快速平均同步算法(FASA)来找到同步解. 该算法能够补偿时钟节点间的时钟偏移和时钟偏差, 使得和以前的同步方法比较后在较短的时间内实现时钟节点的同步. 其次, 由于FASA的动态特性, 我们从具有任意时延的分割动态系统角度来刻画这个算法. 该算法保证在动态网络中的所有时钟节点收敛到李亚普诺夫稳定平衡点. 最后, 数值仿真和实验结果证明了FASA的正确性和有效性, 这意味着时钟节点能达到全局一致, 并且使同步误差精度达到纳秒级别.
Abstract:
This paper investigates the synchronization problem of clock oscillators in nonlinear dynamical network with arbitrary time-delays. First, a dynamic synchronization algorithm based on consensus control strategy, named fast averaging synchronization algorithm (FASA), is presented to find a solution to the synchronization problem. This algorithm can compensate the clock skew and offset differences between clock nodes, achieving the synchronization of clock nodes in a shorter time as compared to previous synchronization methods. Second, because of the dynamical performance of FASA, it is characterized from the perspective of compartmental dynamical system with arbitrary time-delays. In this case, the algorithm guarantees the states of all clock nodes in dynamical network converge to Lyapunov stable equilibria. Finally, numerical simulations and experimental results demonstrate the correctness and efficiency of the FASA, which means that the clock nodes can reach global consensus, and the synchronization error can reach nanosecond order of magnitude.
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