Title :
Improved Conditions for Passivity of Neural Networks With a Time-Varying Delay
Author :
Hong-Bing Zeng ; Yong He ; Min Wu ; Hui-Qin Xiao
Author_Institution :
Sch. of Inf. Sci. & Eng., Central South Univ., Changsha, China
Abstract :
The passivity of neural networks with a time-varying delay and norm-bounded parameter uncertainties is investigated in this paper. A complete delay-decomposing approach is employed to construct a Lyapunov-Krasovskii functional. Then, by utilizing a segmentation technique to consider the time-varying delay and its derivative and introducing some free-weighting matrices to express the relationship between the time-varying delay and its varying interval, some improved passivity criteria are derived. Finally, two numerical examples are given to show the effectiveness and the merits of the proposed method.
Keywords :
Lyapunov methods; delays; matrix algebra; neural nets; Lyapunov-Krasovskii functional; delay-decomposing approach; free-weighting matrices; improved passivity criteria; neural networks; norm-bounded parameter uncertainties; segmentation technique; time-varying delay; Biological neural networks; Delay effects; Delays; Educational institutions; Stability analysis; Symmetric matrices; Lyapunov-Krasovskii functional; Lyapunov??Krasovskii functional; neural networks; passivity; time-varying delay;
Journal_Title :
Cybernetics, IEEE Transactions on
DOI :
10.1109/TCYB.2013.2272399
