Stability Analysis of A Class of Takagı-Sugeno Fuzzy Cohen-Grossberg Neural Networks with Time Delays

Abstract

This paper deals with the problem of the global asymptotic stability of the class of Takagi-Sugeno Fuzzy Cohen-Grossberg neural networks with multiple time delays. By constructing a suitable fuzzy Lyapunov functional, we present a new delay-independent sufficient condition for the global asymptotic stability of the equilibrium point for delayed Takagi-Sugeno Fuzzy Cohen-Grossberg neural networks with respect to the Lipschitz activation functions. The obtained condition simply relies on the network parameters of the neural system. Therefore, the equilibrium and stability properties of the neural network model considered in this paper can be easily verified by exploiting some basic properties of some certain classes of matrices.

Keywords

• T-S Fuzzy Neural Networks,Delayed Systems,Lyapunov Functionals

TAKAGİ-SUGENO BULANIK COHEN-GROSSBERG TİPİ ZAMAN GECİKMELİ YAPAY SİNİR AĞLARINDA KARARLILIK ANALİZİ

Abstract

Bu çalışma çoklu zaman gecikmeli Takagi-Sugeno Bulanık Cohen-Grossberg tipi yapay sinir ağlarının global asimtotik kararlılık problemi ile ilgilenmektedir. Uygun bulanık Lyapunov fonksiyonelleri kullanılarak ve aktivasyon fonksiyonlarının Lipschitz olduğu dikkate alnarak, gecikmeli Takagi-Sugeno Bulanık Cohen-Grossberg yapay sinir ağlarında denge noktasının global asimtotik gecikme parametrelerinden bağımsız olarak, yeni yeterli bir kararlılık koşulu sunulmuştur. Elde edilen koşul sadece sinir ağının sistem parametrelerine bağlı olarak ifade edilmiştir. Bu nedenle, bu çalışmada çalışılan  yapay sinir ağı modelinin denge ve kararlılık özellikleri, bazı özel matris sınıflarının  temel özellikleri kullanarak kolaylıkla doğrulanabilir.

Keywords

• T-S Bulanık Sinir Ağları,Gecikmeli Sistemler,Lyapunov Fonksiyonelleri

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