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It is already known that a linear time-varying differential system describing a single input-single output dynamical system is always commutative with its constant gain feedback pairs. In this article, it is proven that among the time-varying feedback conjugates of a linear time-varying system, constant feedback conjugates are the only commutative feedback pairs and any of the time-varying feedback conjugates cannot constitute a commutative pair of a linear time-varying system.<\/jats:p>","DOI":"10.1177\/0142331218765615","type":"journal-article","created":{"date-parts":[[2018,5,30]],"date-time":"2018-05-30T18:59:17Z","timestamp":1527706757000},"page":"696-700","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":13,"title":["Commutativity of systems with their feedback conjugates"],"prefix":"10.1177","volume":"41","author":[{"given":"Mehmet Emir","family":"Koksal","sequence":"first","affiliation":[{"name":"Department of Mathematics, Ondokuz Mayis University, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2018,5,30]]},"reference":[{"key":"bibr1-0142331218765615","doi-asserted-by":"publisher","DOI":"10.2307\/j.ctvcm4gdk"},{"key":"bibr2-0142331218765615","volume-title":"Electronic Devices and Circuit Theory","author":"Boylestad R","year":"2013"},{"key":"bibr3-0142331218765615","volume-title":"Notes for a Second Course on Linear Systems","author":"Desoer CA","year":"1970"},{"key":"bibr4-0142331218765615","volume-title":"Feedback Control Theory","author":"Doyle J","year":"1990"},{"key":"bibr5-0142331218765615","doi-asserted-by":"publisher","DOI":"10.1080\/00207178208932914"},{"key":"bibr6-0142331218765615","doi-asserted-by":"publisher","DOI":"10.1080\/00207178308933076"},{"key":"bibr7-0142331218765615","first-page":"223","volume-title":"International Conference on Telecommunication and Control","author":"Koksal M","year":"1984"},{"key":"bibr8-0142331218765615","unstructured":"Koksal M (1985) A survey on the commutativity of time-varying systems (GEEE CAS-85\/1). 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