SOME RESULTS ON THE BEHAVIOUR OF TRANSFER FUNCTIONS AT THE RIGHT HALF PLANE

Azeroğlu T. A., Örnek B. N., Düzenli T.

Evolution Equations and Control Theory, vol.11, no.1, pp.169-175, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.3934/eect.2020106
  • Journal Name: Evolution Equations and Control Theory
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.169-175
  • Keywords: control system, extremal function, sharpness analysis, marginal stability, transfer function, Positive real function, POSITIVE REALNESS, IMPEDANCE
  • Kocaeli University Affiliated: No

Abstract

© 2022, American Institute of Mathematical Sciences. All rights reserved.In this paper, an inequality for a transfer function is obtained assuming that its residues at the poles located on the imaginary axis in the right half plane. In addition, the extremal function of the proposed inequality is obtained by performing sharpness analysis. To interpret the results of analyses in terms of control theory, root-locus curves are plotted. According to the results, marginally and asymptotically stable transfer functions can be determined using the obtained extremal function in the proposed theorem.