Title :
Existence and global exponential stability of periodic solution for BAM neural networks with periodic coefficients and time-varying delays
Author :
Liu, Zhigang ; Chen, Anping ; Cao, Jinde ; Huang, Lihong
Author_Institution :
Dept. of Math., Xiangnan Coll., Chenzhou, China
Abstract :
Several sufficient conditions are obtained ensuring existence and global exponential stability of periodic solution for the bidirectional associative memory (BAM) neural networks with periodic coefficients and time-varying delays by using the continuation theorem of Mawhin´s coincidence degree theory and Gronwall´s inequality. These results are helpful to design globally exponentially stable BAM networks and periodic oscillatory neural networks.
Keywords :
asymptotic stability; content-addressable storage; delays; neural nets; time-varying systems; Gronwall inequality; Mawhin coincidence degree theory; bidirectional associative memory neural network; continuation theorem; global exponential stability; periodic coefficients; periodic oscillatory solution; time-varying delay; Associative memory; Automatic control; Equations; Magnesium compounds; Mathematics; Neural networks; Neurons; Pattern recognition; Stability; Sufficient conditions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2003.816306
