Yoneyama's 3/2 test for the asymptotic stability of delay dynamic equations

Alsharif N. H. M., KARPUZ B.

International Journal of Control, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2024
  • Doi Number: 10.1080/00207179.2024.2380024
  • Journal Name: International Journal of Control
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, zbMATH
  • Keywords: 34K20, 34N05, Delay dynamic equations, global attractivity, globally asymptotically stable, uniformly stability
  • Dokuz Eylül University Affiliated: Yes

Abstract

We consider the linear delay dynamic equation (Formula presented.) We enhanced the results in Wu and Zhou [2007. Stability for first order delay dynamic equations on time scales. Computers and Mathematics with Applications, 53(12), 1820–1831] by removing the boundedness criterion from the delay and graininess functions to cover the result in Zhang et al. [1999. Global attractivity of difference equations with variable delay. Dynamics of Continuous, Discrete and Impulsive Systems, 6(3), 307–317]. Furthermore, we have defined new functions that will assist us in proving our main results. We have presented some examples that illustrate the essence of our results in this work.