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Computer Science > Systems and Control

Title: Commutativity of Systems with their Feedback Conjugates

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 constitutes a commutative pair of a linear time-varying system.
Comments: 13 pages, 2 figures
Subjects: Systems and Control (cs.SY)
MSC classes: 93C05, 93C15, 93A30
Cite as: arXiv:1709.04405 [cs.SY]
  (or arXiv:1709.04405v1 [cs.SY] for this version)

Submission history

From: Mehmet Emir Koksal [view email]
[v1] Wed, 13 Sep 2017 16:21:28 GMT (442kb)