Title :
Improved Delay-Dependent Stability Condition of Discrete Recurrent Neural Networks With Time-Varying Delays
Author :
Wu, Zhengguang ; Su, Hongye ; Chu, Jian ; Zhou, Wuneng
Author_Institution :
Nat. Lab. of Ind. Control Technol., Zhejiang Univ., Hangzhou, China
fDate :
4/1/2010 12:00:00 AM
Abstract :
This brief investigates the problem of global exponential stability analysis for discrete recurrent neural networks with time-varying delays. In terms of linear matrix inequality (LMI) approach, a novel delay-dependent stability criterion is established for the considered recurrent neural networks via a new Lyapunov function. The obtained condition has less conservativeness and less number of variables than the existing ones. Numerical example is given to demonstrate the effectiveness of the proposed method.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; linear matrix inequalities; neurocontrollers; recurrent neural nets; time-varying systems; Lyapunov function; delay-dependent stability condition; discrete recurrent neural network; global exponential stability; linear matrix inequality; time-varying delay; Delay dependent; exponential stability; linear matrix inequality (LMI); neural networks; time-varying delays; Algorithms; Computer Simulation; Feedback; Humans; Linear Models; Neural Networks (Computer); Nonlinear Dynamics; Time Factors;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2010.2042172