{ "id": "1507.06963", "version": "v1", "published": "2015-07-24T19:04:56.000Z", "updated": "2015-07-24T19:04:56.000Z", "title": "Controllability of Spacecraft Using Only Magnetic Torques", "authors": [ "Yaguang Yang" ], "comment": "10 pages", "categories": [ "math.OC" ], "abstract": "Spacecraft attitude control using only magnetic torques is a time-varying system. Many designs were proposed using LQR and H-infinity formulations. The existence of the solutions depends on the controllability of the linear time-varying systems which has not been established. In this paper, we will derive the conditions of the controllability for this linear time-varying systems.", "revisions": [ { "version": "v1", "updated": "2015-07-24T19:04:56.000Z" } ], "analyses": { "keywords": [ "magnetic torques", "controllability", "linear time-varying systems", "spacecraft attitude control", "h-infinity formulations" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150706963Y" } } }