Title :
New Exponential Stability Criteria for Neural Networks With Time-Varying Delay
Author :
Hua, Chang-Chun ; Yang, Xian ; Yan, Jing ; Guan, Xin-Ping
Author_Institution :
Inst. of Electr. Eng., Yanshan Univ., Qinhuangdao, China
Abstract :
This brief is concerned with the global exponential stability analysis problem for neural networks with time-varying delay. We construct an augmented Lyapunov-Krasovskii functional by using the decompositions of the time delays. In order to deal with the integral terms, the different integral intervals with the same interval length are unified. As a result, no extra inequalities are involved. The novel delay-dependent exponential stability criterion is proposed. Numerical examples are given to demonstrate the effectiveness of the obtained results.
Keywords :
Lyapunov methods; asymptotic stability; delays; neural nets; stability criteria; time-varying systems; Lyapunov-Krasovskii functional; delay-dependent exponential stability criterion; global exponential stability criteria; integral intervals; neural networks; time-varying delay; Circuit stability; Delay effects; Neural networks; Numerical stability; Stability criteria; Exponential stability; Lyapunov method; linear matrix inequalities (LMIs); time-delay neural network;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2011.2172523