Arama Sonuçları

Listeleniyor 1 - 3 / 3
  • Yayın
    New criteria for the existence of stable equilibrium points in nonsymmetric cellular neural networks
    (IEEE, 2003) Özcan, Neyir; Arık, Sabri; Tavşanoğlu, Ahmet Vedat
    A new criteria for the existence of stable equilibrium points in nonsymmetric cellular neural networks (CNN) was presented. It was shown that the results obtained can be used to derive some complete stability conditions for some special classes of CNNs such as positive cell-linking CNNs, opposite-sign CNNs and dominant-template CNNs. The model of the CNN whose dynamical behavior was described by the state equations was discussed.
  • Yayın
    Dynamical analysis of uncertain neural networks with multiple time delays
    (Taylor & Francis Ltd, 2016-02-17) Arık, Sabri
    This paper investigates the robust stability problem for dynamical neural networks in the presence of time delays and norm-bounded parameter uncertainties with respect to the class of non-decreasing, non-linear activation functions. By employing the Lyapunov stability and homeomorphism mapping theorems together, a new delay-independent sufficient condition is obtained for the existence, uniqueness and global asymptotic stability of the equilibrium point for the delayed uncertain neural networks. The condition obtained for robust stability establishes a matrix-norm relationship between the network parameters of the neural system, which can be easily verified by using properties of the class of the positive definite matrices. Some constructive numerical examples are presented to show the applicability of the obtained result and its advantages over the previously published corresponding literature results.
  • Yayın
    New sufficient criteria for global robust stability of neural networks with multiple time delays
    (Işık University Press, 2012) Yücel, Eylem; Arık, Sabri
    In this paper, we study global robust asymptotic stability of the equilibrium point for neural networks with multiple time delays. By employing suitable Lyapunov functionals, we derive a set of delay independent sufficient conditions for global robust asymptotic stability of this class of neural networks. Some examples are constructed to compare the reported results with the related existing results. This comparison proves that our results establish a new set of robust stability criteria for delayed neural networks. It is also demonstrated that the reported results can be easily verified as they can be expressed in terms of the network parameters only.