Title :
New exponential stability criterion for neural networks with time-varying delay
Author :
Meng-Di Ji ; Yong He ; Min Wu ; Chuan-Ke Zhang
Author_Institution :
Sch. of Inf. Sci. & Eng., Central South Univ., Changsha, China
Abstract :
This paper investigates the exponential stability for neural networks with time-varying delay based on Wirtinger-based inequality. Firstly, a simple Lyapunov-Krasovskii functional (LKF) containing a triple integral term is constructed. Then, the treatment to the derivation of the triple integral term leads to a great effect combining with Wirtinger-based inequality. As a result, an improved delay-dependent exponential stability criterion is obtained. Two numerical examples are given to demonstrate its effectiveness.
Keywords :
Lyapunov methods; asymptotic stability; delays; neural nets; stability criteria; time-varying systems; Lyapunov-Krasovskii functional; Wirtinger-based inequality; delay-dependent exponential stability criterion; neural networks; time-varying delay; triple integral term; Asymptotic stability; Control theory; Delays; Neural networks; Stability criteria; Exponential stability; Lyapunov-Krasovskii functional; neural networks; time-varying delay;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895991