Output-Feedback Synchronizibility of Linear Time-Invariant Systems
Tian Xia, Luca Scardovi · arXiv (Cornell University) · 2015
The paper studies the output-feedback synchronization problem for a network of identical, linear time-invariant systems. A criterion to test network synchronization is derived and the notion of output-feedback synchronizability is introduced and investigated. Sufficient and necessary conditions for synchronizability, implying that output-feedback stabilizability is sufficient but not necessary for synchronizability, are derived. In the special case of single-input single-output systems, conditions are derived in the frequency domain. The theory is illustrated with several examples.