Title :
Boundedness and stability for nonautonomous bidirectional associative neural networks with delay
Author :
Jiang, Haijun ; Teng, Zhidong
Author_Institution :
Dept. of Math., Xinjiang Univ., Urumqi, China
fDate :
4/1/2004 12:00:00 AM
Abstract :
The paper studies the nonautonomous bidirectional associative neural networks systems with time-varying delays. By applying Lyapunov functional method, introducing many parameters, and combining this with the techniques of inequality analysis, a series of criteria of the uniform ultimate boundedness, global exponential stability, and the existence of periodic solutions are obtained. The results obtained in this paper are new and useful.
Keywords :
Lyapunov methods; delays; feedforward neural nets; stability; time-varying systems; Lyapunov functional; bidirectional associative neural network; global exponential stability; inequality analysis; nonautonomous bidirectional associative neural networks; periodic solution; time-varying delays; ultimate boundedness; Asymptotic stability; Biomembranes; Delay effects; Delay systems; Mathematical model; Neural networks; Neurons; Stability analysis; Stability criteria; Time varying systems;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2004.824065
