English

Output-Feedback Synchronizability of Linear Time-Invariant Systems

Optimization and Control 2016-08-23 v2

Abstract

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 class of output-feedback synchronizable systems is introduced and characterized by sufficient and necessary conditions. In particular it is observed that output-feedback stabilizability is sufficient but not necessary for output-feedback synchronizability. In the special case of single-input single-output systems, conditions are derived in the frequency domain. The theory is illustrated with several examples.

Keywords

Cite

@article{arxiv.1512.01910,
  title  = {Output-Feedback Synchronizability of Linear Time-Invariant Systems},
  author = {Tian Xia and Luca Scardovi},
  journal= {arXiv preprint arXiv:1512.01910},
  year   = {2016}
}
R2 v1 2026-06-22T12:02:52.004Z