On Stability Analysis of Riemann-Liouville Fractional Singular Systems with Delays

Yıl 2022, , 969 - 975, 26.12.2022

Erdal Korkmaz , Meltem Kaya

https://doi.org/10.18586/msufbd.1183495

Öz

In this study, two lagged fractional order singular neutral differential equations are considered. Using the advantage of the association property of the Riemann -Liouville derivative, the derivative of the appropriate Lyapunov function is calculated. Then, with the help of LMI, sufficient conditions for asymptotic stability of zero solutions are obtained.

Anahtar Kelimeler

Asymptotic stability, Fractional singular equations, Lyapunov method

Gecikmeli Riemann-Liouville Kesirli Singüler Sistemlerin Kararlılık Analizi

Öz

Bu çalışmada gecikmeli kesirli mertebeden singüler nötr iki diferansiyel denklem ele alınır. Riemann-Liouville türevin birleşme özelliğinin avanatajı kullanılarak uygun Lyapunov fonksiyonun türevi hesaplanır. Sonra LMI yardımıyla sıfır çözümlerin asimptotik kararlılığı için yeter şartlar elde edilir.

Anahtar Kelimeler

Asimptotik kararlılık, Kesirli singüler denklemler, Lyapunov metodu

Kaynakça

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