Time-Scale Separation in Networks: State-Dependent Graphs and Consensus Tracking

被引：13

作者：

Awad, Armand ^{[1
]}

Chapman, Airlie ^{[2
]}

Schoof, Eric ^{[2
]}

Narang-Siddarth, Anshu ^{[1
]}

Mesbahi, Mehran ^{[1
]}

机构：

[1] Univ Washington, William E Boeing Dept Aeronaut & Astronaut, Seattle, WA 98195 USA

[2] Univ Melbourne, Dept Mech Engn & Elect & Elect Engn, Parkville, Vic 3010, Australia

来源：

IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS | 2019年 / 6卷 / 01期

基金：

美国国家科学基金会;

关键词：

Networked dynamic systems; state-dependent networks; time-scale separation; SYSTEMS;

D O I：

10.1109/TCNS.2018.2800401

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies the coupled dynamics spanning multiple time-scales that arise in networked systems. Two particular cases are examined. In the first case, agents evolve according to the consensus dynamics over state-dependent graphs whose weight dynamics are slow varying. In the second, the consensus dynamics are coupled to rapidly evolving nonlinear node dynamics. In both instances, graph-based guarantees are provided that certify the existence of a separation principle across time scales. Further, the effect of the network's structure on the composite multiple time-scale system's stability and basin of attraction is quantified in each case. As illustrated by specific numeric examples, these results provide designers with a network-centric approach to improve the performance and stability of such coupled systems.

引用

页码：104 / 114

页数：11

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