title: Stability analysis of neutral type neural networks with mixed time-varying delays using triple-integral and delay-partitioning methods.
abstract: This paper investigates the asymptotical stability problem for a class of neutral type neural networks with mixed time-varying delays. The system not only has time-varying discrete delay, but also distributed delay, which has never been discussed in the previous literature. Firstly, improved stability criteria are derived by employing the more general delay partitioning approach and generalizing the famous Jensen inequality. Secondly, by constructing a newly augmented Lyapunov-Krasovskii functionals, some less conservative stability criteria are established in terms of linear matrix inequalities (LMIs). Finally, four numerical examples are given to illustrate the effectiveness and the advantage of the proposed main results.
authors.affiliation: School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China. Electronic address: skbs111@163.com.
authors.forename: Kaibo
authors.initials: K
authors.lastname: Shi
authors.affiliation: School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.
authors.forename: Hong
authors.initials: H
authors.lastname: Zhu
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China; Key Laboratory for Neuroinformation of Ministry of Education, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.
authors.forename: Shouming
authors.initials: S
authors.lastname: Zhong
authors.affiliation: School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.
authors.forename: Yong
authors.initials: Y
authors.lastname: Zeng
authors.affiliation: School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.
authors.forename: Yuping
authors.initials: Y
authors.lastname: Zhang
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.
authors.forename: Wenqin
authors.initials: W
authors.lastname: Wang
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D016014:Linear Models; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics
keywords: Delay decomposition approach; Linear matrix inequality; Mixed time-varying delays; Neutral type neural networks; Stability analysis