Zaman-Değişken Gecikmeli Riemann–Liouville Lineer Olmayan Kesirli Nötr Sistemlerin Asimptotik Kararlılığına LMI Yaklaşımı

Year 2023, , 908 - 918, 29.12.2023

Erdal Korkmaz , Abdulhamit Özdemir

https://doi.org/10.53433/yyufbed.1246729

Abstract

Bu çalışmada, otonom olmayan ve lineer olmayan kesirli nötr sistemlerin asimptotik kararlılığı üzerine sonuçlar elde edilmiştir. Elde edilen kararlılık sonuçları gecikmeden bağımsızdır ve gecikmeler aynı zamanda hem zaman-değişken olup hem de sınırlı değildir. Ayrıca bu çalışmadaki sonuçlar birer konveks optimizasyon problemi olarak ifade edilmiştir ve sonuçların uygulanabilirliği ve etkinliğini araştırmak için bir örnek kullanılmıştır.

Keywords

Asimptotik kararlılık, Kesir mertebeli nötr sistemler, Konveks optimizasyon problemi, Riemann-Liouville türevi

LMI Approach for Asymptotical Stability of Riemann–Liouville Nonlinear Fractional Neutral Systems with Time-Varying Delays

Abstract

In this paper, we have delivered asymptotic stability results for solutions to non-autonomous nonlinear neutral systems. The acquired stability results are independent of the delays, and the delays are also both time-variable and unbounded. Additionally, the results were described as a convex optimization problem, and an example was used to examine the results' feasibility and efficacy.

Keywords

Asymptotical stability, Convex optimization problem, Fractional neutral systems, Riemann-Liouville derivative

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