{ "id": "1512.01910", "version": "v1", "published": "2015-12-07T04:42:29.000Z", "updated": "2015-12-07T04:42:29.000Z", "title": "Output-Feedback Synchronizibility of Linear Time-Invariant Systems", "authors": [ "Tian Xia", "Luca Scardovi" ], "categories": [ "math.OC" ], "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 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.", "revisions": [ { "version": "v1", "updated": "2015-12-07T04:42:29.000Z" } ], "analyses": { "keywords": [ "linear time-invariant systems", "output-feedback synchronizibility", "output-feedback synchronization problem", "single-input single-output systems", "test network synchronization" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }