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RELATIVE CONTROLLABILITY OF THE φ-CAPUTO FRACTIONAL DELAYED SYSTEM WITH IMPULSES

Cilt: 26 Sayı: Özel Sayı 12 Aralık 2023
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RELATIVE CONTROLLABILITY OF THE φ-CAPUTO FRACTIONAL DELAYED SYSTEM WITH IMPULSES

Abstract

The impulsive fractional delayed differential system with the Caputo derivative with respect to another function is considered. An explicit solution to the system in the light of the available studies on this subject is determined and its existence and uniqueness are debated. Lastly, the stability and controllability of the given system are investigated.

Keywords

Kaynakça

  1. Aydin, M., Mahmudov, N. I., Aktuğlu, H., Baytunç, E., & Atamert, M. S. (2022). On a study of the representation of solutions of a Ψ-Caputo fractional differential equations with a single delay. Electronic Research Archive, 30, 1016–1034.
  2. Aydin, M., & Mahmudov, N. I. (2022). Iterative learning control for impulsive fractional order time-delay systems with nonpermutable constant coefficient matrices. International Journal of Adaptive Control and Signal Processing, 36(1), 1419–1438.
  3. Bainov, D. D., & Simeonov, P. S. (1989). Systems with Impulse Effect. Ellis Horwood Series:Mathematics and Its Applications, Ellis Horwood, Chichester.
  4. Bainov, D. D., & Simeonov, P. S. (1993). Impulsive Differential Equations: Periodic Solutions and Applications, Pitman Monographs and Surveys in Pure and Applied Mathematics. (66 vol.). Longman Scientific & Technical, Harlow; JohnWiley & Sons, New York.
  5. Elshenhab, A. M., & Wang, X. T. (2021a). Representation of solutions for linear fractional systems with pure delay and multiple delays. Mathematical Methods in the Applied Sciences, 44, 12835–12850.
  6. Elshenhab, A. M., & Wang, X. T. (2021b). Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices. Applied Mathematics and Computation, 410, 126443. https://doi.org/10.1016/j.amc.2021.126443
  7. Khusainov, D. Y., & Shuklin, G. V. (2005). Relative controllability in systems with pure delay. International Journal of Applied Mathematics, 2, 210–221. https://doi.org/10.1007/s10778-005-0079-3
  8. Khusainov, D. Y., & Shuklin, G. V. (2003). Linear autonomous time-delay system with permutation matrices solving. Stud. Univ. Zilina, 17, 101–108.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Makine Mühendisliği (Diğer)

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

12 Aralık 2023

Gönderilme Tarihi

8 Ağustos 2023

Kabul Tarihi

29 Eylül 2023

Yayımlandığı Sayı

Yıl 2023 Cilt: 26 Sayı: Özel Sayı

Kaynak Göster

APA
Aydın, M. (2023). RELATIVE CONTROLLABILITY OF THE φ-CAPUTO FRACTIONAL DELAYED SYSTEM WITH IMPULSES. Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi, 26(Özel Sayı), 1121-1132. https://doi.org/10.17780/ksujes.1339354

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