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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 143585, 9 pages
Research Article

An Analysis of Stability of a Class of Neutral-Type Neural Networks with Discrete Time Delays

1Department of Computer Engineering, Istanbul University, Avcilar, 34320 Istanbul, Turkey
2Department of Electrical and Electronics Engineering, Isik University, Sile, 34980 Istanbul, Turkey

Received 17 April 2013; Accepted 21 May 2013

Academic Editor: Zidong Wang

Copyright © 2013 Zeynep Orman and Sabri Arik. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The problem of existence, uniqueness, and global asymptotic stability is considered for the class of neutral-type neural network model with discrete time delays. By employing a suitable Lyapunov functional and using the homeomorphism mapping theorem, we derive some new delay-independent sufficient conditions for the existence, uniqueness, and global asymptotic stability of the equilibrium point for this class of neutral-type systems. The obtained conditions basically establish some norm and matrix inequalities involving the network parameters of the neural system. The main advantage of the proposed results is that they can be expressed in terms of network parameters only. Some comparative examples are also given to compare our results with the previous corresponding results and demonstrate the effectiveness of the results presented.