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

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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