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

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Aydın M., Mahmudov N. I.

Mathematical Methods in the Applied Sciences, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1002/mma.10714
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: 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
  • Anahtar Kelimeler: control delay, delay perturbation of Mittag-Leffler function, fractional differential delayed system, relative controllability
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.