Porfiri Maurizio, Fiorilli Francesca
Department of Mechanical and Aerospace Engineering, Polytechnic Institute of New York University, Brooklyn, New York 11201, USA.
Chaos. 2009 Mar;19(1):013122. doi: 10.1063/1.3080192.
In this paper, we study pinning controllability of oscillator networks. We present necessary conditions for network pinning controllability based on the spectral properties of the oscillator network and the individual oscillator dynamics. We define a performance metric for pinning-control systems based on the location of pinned sites, the pinning-control gains, and the network topology. We show that for any network structure, uniform pinning of all the network nodes maximizes the pinning-control performance. We propose the node-to-node pinning-control strategy to optimize the control performance while avoiding to simultaneously control all the network sites. In this novel strategy, the pinning-control action rapidly switches from one node to another with the goal of taming the oscillator network dynamics to the desired trajectory. We illustrate our findings through numerical simulations on networks of Rossler oscillators.
在本文中，我们研究振荡器网络的牵制可控性。基于振荡器网络的频谱特性和单个振荡器动力学，我们给出了网络牵制可控性的必要条件。我们根据被牵制节点的位置、牵制控制增益和网络拓扑结构，为牵制控制系统定义了一个性能指标。我们表明，对于任何网络结构，对所有网络节点进行均匀牵制可使牵制控制性能最大化。我们提出了节点到节点的牵制控制策略，以优化控制性能，同时避免同时控制所有网络节点。在这种新颖的策略中，牵制控制作用在节点之间快速切换，目的是将振荡器网络动力学调整到期望的轨迹。我们通过对罗斯勒振荡器网络的数值模拟来说明我们的研究结果。
