Kalman type rank condition for relative controllability of second order delayed linear difference equations

Asadzade J. A., Mahmudov N.

Journal of Difference Equations and Applications, vol.31, no.11, pp.1439-1456, 2025 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 31 Say: 11
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.1080/10236198.2025.2560013
  • jurnalın adı: Journal of Difference Equations and Applications
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Səhifə sayı: pp.1439-1456
  • Açar sözlər: delayed linear discrete systems, Kalman type rank condition, Relative controllability, second-order difference
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

This paper explores the relative controllability of second-order delayed linear difference systems. Initially, we establish a Kalman-type rank condition as a fundamental criterion for assessing controllability. Following this, we introduce the discrete Gramian matrix and demonstrate its nonsingularity, supported by several auxiliary lemmas. Additionally, we derive a sufficient condition for relative controllability and construct an appropriate control function. To validate the theoretical results, a numerical example is presented that illustrates the practical implications and effectiveness of the proposed approach.