Controllability of Nonlinear Fractional Systems with Multiple State and Control Delays

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Aydın M.

Journal of Nonlinear Modeling and Analysis, cilt.7, sa.5, ss.1965-1981, 2025 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 7 Sayı: 5
• Basım Tarihi: 2025
• Doi Numarası: 10.12150/jnma.2025.1965
• Dergi Adı: Journal of Nonlinear Modeling and Analysis
• Derginin Tarandığı İndeksler: Scopus
• Sayfa Sayıları: ss.1965-1981
• Anahtar Kelimeler: Fractional differential system, Mittag-Leffler-type function, multiple control delays, multiple state delays, multivariate matrix equations, relative controllability
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This study focuses on examining the controllability of nonlinear fractional differential systems in finite-dimensional spaces, considering multiple delays in both state and control. For linear systems, the necessary and sufficient conditions for relative controllability are established through the definition and application of the Gramian matrix. For nonlinear systems, controllability conditions are derived using Schauder’s fixed point theorem.