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Commutativity of systems with their feedback conjugates

Koksal, Mehmet Emir


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{
  "DOI": "10.1177/0142331218765615", 
  "abstract": "After introducing commutativity concept and summarizing the relevant literature, this work is focused on the commutativity of feedback conjugates. 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.", 
  "author": [
    {
      "family": "Koksal", 
      "given": " Mehmet Emir"
    }
  ], 
  "container_title": "TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL", 
  "id": "74187", 
  "issue": "3", 
  "issued": {
    "date-parts": [
      [
        2019, 
        1, 
        1
      ]
    ]
  }, 
  "page": "696-700", 
  "title": "Commutativity of systems with their feedback conjugates", 
  "type": "article-journal", 
  "volume": "41"
}
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