Title :
Stability Analysis in Higher Order Cohen-Grossberg-Type Bidirectional Associative Memory Neural Networks
Author :
Xu, Rongcong ; Xia, Yonghui
Author_Institution :
Coll. of Math. & Comput. Sci., Fuzhou Univ., Fuzhou
Abstract :
In this paper, we investigate the higher order Cohen-Grossberg-type bidirectional associative memory (BAM) neural networks with time delays. By using Laypunov-Kravsovskii functional and homeomorphism theory, some new sufficient conditions are established for the existence and global exponential stability of a unique equilibrium without strict conditions imposed on self regulation functions. Finally, an example and its simulations are presented to illustrate the global exponential stability of the equilibrium.
Keywords :
Lyapunov methods; asymptotic stability; content-addressable storage; delays; neural nets; Cohen-Grossberg-type bidirectional associative memory neural networks; Laypunov-Kravsovskii functional; global exponential stability; homeomorphism theory; stability analysis; time delays; Associative memory; Asymptotic stability; Computer networks; Convergence; Delay effects; Educational institutions; Magnesium compounds; Mathematics; Neural networks; Stability analysis; exponential stability;
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.9
