Delay Decomposition Approach to Delay-Dependent Asymptotic Stability for Fractional-Order Singular Delay Systems
Circuits, Systems, and Signal Processing, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s00034-026-03742-9
- Dergi Adı: Circuits, Systems, and Signal Processing
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Compendex, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Materials Science & Engineering Collection (ProQuest), Pharma Collection (ProQuest), Technology Collection (ProQuest)
- Anahtar Kelimeler: Delay decomposition approach, Fractional-order singular systems, Linear matrix inequality, Lyapunov–Krasovskii functional, Stability
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
The delay decomposition approach has demonstrated strong performance in stability analysis for both constant and varying delay systems. In this study, the asymptotic stability of fractional-order singular delay systems is investigated using the delay decomposition approach. Sufficient stability conditions are derived in terms of linear matrix inequalities (LMIs) that can be easily solved by constructing suitable Lyapunov–Krasovskii (L–K) functionals. A new L–K functional is proposed that decomposes the delays across all integral terms. The ability to directly calculate integer-order derivatives of the L–K functional makes the method used in this study advantageous. Theoretical results are established, and two numerical examples are provided to demonstrate the effectiveness and feasibility of the proposed approach using MATLAB and Simulink.