Zaman Değişken Gecikmelerle Sınıfsal Sinir Ağlarının Üstel Kararlılığı Üzerine Yeni Sonuçlar

Bu makalede, zamanla değişen gecikmelerle sinir ağlarının bir sınıfı için global üstel kararlılığının analizine yönelik bazı yeni yaklaşımlar sunulmuştur. Fonksiyonel diferansiyel denklemlere yönelik bu yaklaşımlar için Lyapunov kararlılık teorisinden yararlanılmıştır. Daha sonra, dikkate alınan denklemin global üstel kararlılığı (GÜK) için gerek ve yeter koşullar tartışılmıştır. Önerilen denklemin çözümünün nitel davranışını göstermek için bir örnek verilmiştir ve bu örneklerde elde edilen sonuçların geçerliliğini göstermek için MATLAB-Simulink Programı kullanılmıştır. Sonuç olarak, elde edilen sonuçlar ilgili literatürde bulunan sonuçları içerir ve geliştirir.

New Results on the Exponential Stability of Class Neural Networks with Time-Varying Lags

In this article, some novel approaches to the analysis of global exponential stability (GES) for a class of neuralnetworks with time-varying lags are presented. For functional differential equations, these approaches to are basedon Lyapunov stability theory. Then, the necessary and sufficient conditions for GES of the equation consideredhave been discussed. An example was given to illustrate the qualitative behavior of the solution of the proposedequation and MATLAB-Simulink Program was used to demonstrate the validity of the results obtained in thissample. Consequently, the obtained results include and improve the results found in the related literature.

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