On the synchronization of two impulsive oscillators under communication constraints
On the synchronization of two impulsive oscillators under communication constraints
复制标题
通信约束下两个脉冲振荡器的同步研究
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
R. Erwin
中科院分区：
文献类型：
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作者：
S. Phillips;R. Sanfelice;R. Erwin
研究了一类脉冲振子的同步问题。每个脉冲振荡器被建模为一个混合系统，自我复位到零时，其状态达到一个阈值，并通过外部复位脉冲更新法时，从其他振荡器的信息被接收。在每次复位到零时，振荡器广播一个数据包并选择不同的通信信道。该机制类似于萤火虫模型，其中外部重置对应于萤火虫的闪烁。振荡器只能在与广播数据包的信道相同的信道上接收信息。这种机制导致信息丢失的可能性。在这样的通信约束下，我们表明，耦合脉冲振荡器（几乎全球）同步他们的信道选择。为了建立这一结果，我们将振荡器的互连建模为混合系统，并应用最近开发的李雅普诺夫稳定性工具。数值模拟来说明结果。
The problem of establishing synchronization of a class of impulsive oscillators is considered. Each impulsive oscillator is modeled as a hybrid system that self resets to zero when its state reaches a threshold and is externally reset via an impulsive update law when information from other oscillators is received. At every reset to zero, the oscillators broadcast a packet and select a different communication channel. The mechanism resembles that of a firefly model in which the external resets correspond to flashes of the fireflies. Oscillators can only receive information when they are on the same channel that a packet was broadcast. This mechanism leads to the possibility of information loss. Under such a communication constraint, we show that the coupled impulsive oscillators (almost globally) synchronize their channel selections. To establish this result, we model the interconnection of oscillators as a hybrid system and apply recently developed Lyapunov stability tools. Numerical simulations are included to illustrate the results.