Commutativity of first-order discrete-time linear time-varying systems

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Köksal M. E.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.42, no.16, pp.5274-5292, 2019 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 16
  • Publication Date: 2019
  • Doi Number: 10.1002/mma.5310
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5274-5292
  • Keywords: difference equations, digital control, equivalent circuits, feedback, linear control systems, robust control, CASCADE SYNTHESIS, STABILITY ANALYSIS, FAULT-DETECTION, STABILIZATION, CONNECTION, UNCERTAIN
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

After introducing the concept of commutativity for continuous-time linear time-varying systems, the related literature and the results obtained so far are presented. For a simple introduction of the commutativity of discrete-time linear time-varying systems, the problem is formulated for first-order systems. Finally, explicit necessary and sufficient conditions for the commutativity of first-order discrete-time linear time-varying systems are derived, and their advantageous use in digital system design is illustrated, which are the main objectives of the paper. The results are verified by examples which include an application in amplitude modulation for digital telecommunication.