Title :
Robust Exponential Stability of Uncertain Stochastic Neural Networks With Distributed Delays and Reaction-Diffusions
Author :
Jianping Zhou ; Shengyuan Xu ; Baoyong Zhang ; Yun Zou ; Hao Shen
Author_Institution :
Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing, China
Abstract :
This paper considers the problem of stability analysis for uncertain stochastic neural networks with distributed delays and reaction-diffusions. Two sufficient conditions for the robust exponential stability in the mean square of the given network are developed by using a Lyapunov-Krasovskii functional, an integral inequality, and some analysis techniques. The conditions, which are expressed by linear matrix inequalities, can be easily checked. Two simulation examples are given to demonstrate the reduced conservatism of the proposed conditions.
Keywords :
Lyapunov methods; asymptotic stability; delays; mean square error methods; neural nets; robust control; stochastic systems; uncertain systems; Lyapunov-Krasovskii functional; distributed delays; integral inequality; linear matrix inequalities; mean square; reaction diffusions; robust exponential stability; stability analysis; uncertain stochastic neural networks; Biological neural networks; Delay; Neurons; Robustness; Stability criteria; Distributed delays; reaction-diffusions; robust stability; stochastic neural networks;
Journal_Title :
Neural Networks and Learning Systems, IEEE Transactions on
DOI :
10.1109/TNNLS.2012.2203360