{ "id": "1508.06018", "version": "v1", "published": "2015-08-25T03:11:14.000Z", "updated": "2015-08-25T03:11:14.000Z", "title": "A combination of small-gain and density propagation inequalities for stability analysis of networked systems", "authors": [ "Humberto Stein Shiromoto", "Petro Feketa", "Sergey Dashkovskiy" ], "categories": [ "cs.SY", "math.OC" ], "abstract": "In this paper, the problem of stability analysis of a large-scale interconnection of nonlinear systems for which the small-gain condition does not hold globally is considered. A combination of the small-gain and density propagation inequalities is employed to prove almost input-to-state stability of the network.", "revisions": [ { "version": "v1", "updated": "2015-08-25T03:11:14.000Z" } ], "analyses": { "keywords": [ "density propagation inequalities", "stability analysis", "networked systems", "combination", "large-scale interconnection" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }