Title :
Further Results on Delay-Dependent Stability Criteria of Neural Networks With Time-Varying Delays
Author :
Li, Tao ; Guo, Lei ; Sun, Changyin ; Lin, Chong
Author_Institution :
Southeast Univ., Nanjing
fDate :
4/1/2008 12:00:00 AM
Abstract :
In this brief paper, an augmented Lyapunov functional, which takes an integral term of state vector into account, is introduced. Owing to the functional, an improved delay-dependent asymptotic stability criterion for delayed neural networks (NNs) is derived in term of linear matrix inequalities (LMIs). It is shown that the obtained criterion can provide less conservative result than some existing ones. When linear fractional uncertainties appear in NNs, a new robust delay-dependent stability condition is also given. Numerical examples are given to demonstrate the applicability of the proposed approach.
Keywords :
Lyapunov methods; asymptotic stability; linear matrix inequalities; neural nets; stability criteria; time-varying systems; augmented Lyapunov functional; delay-dependent asymptotic stability criterion; linear matrix inequalities; neural networks; time-varying delays; Asymptotic stability; delay-dependent; linear matrix inequality (LMI); neural networks (NNs); robust stability; Computer Simulation; Linear Models; Models, Theoretical; Neural Networks (Computer); Time Factors;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2007.914162