Relative Controllability of Fractional Dynamical Systems With a Delay in State and Multiple Delays in Control

Aydın M., Mahmudov N.

Mathematical Methods in the Applied Sciences, vol.48, no.6, pp.6779-6787, 2025 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 48 Say: 6
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.1002/mma.10714
  • jurnalın adı: Mathematical Methods in the Applied Sciences
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Səhifə sayı: pp.6779-6787
  • Açar sözlər: control delay, delay perturbation of Mittag-Leffler function, fractional differential delayed system, relative controllability
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

This work is devoted to the study of the relative controllability of fractional dynamic systems in finite-dimensional spaces with a state delay and multiple delays in control. For linear systems to be relatively controllable, necessary and sufficient conditions are determined by defining and using the Gramian matrix. The controllability conditions for semilinear systems are determined on the basis of Schauder's fixed point theorem.