New Exponential Stability Criteria for Certain Neutral Integro-Differential Equations

Öz

Bu çalışmada, birinci basamaktan ayrık ve değişken gecikmeli neutral integro- diferansiyel denklemlerin (NIDE) sıfır çözümünün üstel kararlılığı incelenmektedir. Uygun bir Lyapunov-Krasovski fonksiyeli, Leibniz-Newton formülü ve matris eşitsizliği yardımıyla ele alınan denklemin sıfır çözümünün üstel kararlılığı için yeter şartlar içeren yeni bir sonuç ispatlanmaktadır. Bu çalışma literatürdeki konuyla ilgili önceki sonuçları genişletmekte ve geliştirmektedir.

Anahtar Kelimeler

• Neutral differential equation,first order,exponential stability,time-varying delay,the direct method of Lyapunov

New Exponential Stability Criteria for Certain Neutral Integro-Differential Equations

Öz

In this work, the exponential stability of zero solution of some neutral integro-differential equations of the first order (NIDE) with discrete and distributed time-varying delays is discussed. A new result that has sufficient conditions on the exponential stability of zero solution is proved by aid a new Lyapunov-Krasovskii functional, the Leibniz-Newton formula and a matrix inequality. The result of this paper extends and improves some former results on the topic in the literature.

Anahtar Kelimeler

• Neutral differential equation,first order,exponential stability,time-varying delay,direct method of Lyapunov

Kaynakça

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