WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Global Asymptotic Stability for Second-Order Neutral Type Cohen-Grossberg Neural Networks with Time Delays
Authors: ,
Abstract: In this paper, the global asymptotic stability of second-order neutral type Cohen-Grossberg neural networks with time-varying delays are investigated. First, by choosing properly variable substitution the system is transformed to first-order differential equation. Second, some sufficient conditions which can ensure the existence and global asymptotic stability of equilibrium point for the system are obtained through using homeomorphism and the differential mean value theorem, constructing suitable Lyapunov functional and applying the positive matrix. Finally, two examples are given to illustrate the effectiveness of the results.
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Keywords: second-order neutral type, Cohen-Grossberg neural networks, Lyapunov functional, Homeomorphism theory, differential mean value theorem, asymptotic stability
Pages: 973-982
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #95