Title :
New Delay-Dependent Stability Criteria for Neural Networks With Time-Varying Delay
Author :
He, Yong ; Liu, Guoping ; Rees, D.
Author_Institution :
Fac. of Adv. Technol., Univ. of Glamorgan, Pontypridd
Abstract :
In this letter, a new method is proposed for stability analysis of neural networks (NNs) with a time-varying delay. Some less conservative delay-dependent stability criteria are established by considering the additional useful terms, which were ignored in previous methods, when estimating the upper bound of the derivative of Lyapunov functionals and introducing the new free-weighting matrices. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method
Keywords :
Lyapunov methods; delays; neural nets; stability criteria; time-varying systems; Lyapunov functionals; delay-dependent stability criteria; neural networks; stability analysis; time-varying delay; Delay effects; Delay estimation; Delay lines; Helium; Linear matrix inequalities; Neural networks; Neurons; Stability analysis; Stability criteria; Upper bound; Delay-dependent; linear matrix inequality (LMI); neural networks (NNs); stability; time-varying delay; Algorithms; Computer Simulation; Models, Theoretical; Neural Networks (Computer); Nonlinear Dynamics; Time Factors;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2006.888373
