title: Robust stability of stochastic fuzzy delayed neural networks with impulsive time window.
abstract: The urgent problem of impulsive moments which cannot be determined in advance brings new challenges beyond the conventional impulsive systems theory. In order to solve this problem, the novel concept of impulsive time window is proposed in this paper. And the stability problem of stochastic fuzzy uncertain delayed neural networks with impulsive time window is investigated. By combining the discretized Lyapunov function approach with mathematical induction method, several novel and easy-to-check sufficient conditions concerning the impulsive time window are derived to ensure that the model considered here is exponentially stable in mean square. Numerical simulations are presented to further demonstrate the effectiveness of the proposed stability criterion.
authors.affiliation: College of Electronic and Information Engineering, Southwest University, Chongqing 400044, PR China. Electronic address: xiner214@126.com.
authors.forename: Xin
authors.initials: X
authors.lastname: Wang
authors.affiliation: Institute of Automation, Chinese Academy of Sciences, Beijing 100190, PR China. Electronic address: junzhi.yu@ia.ac.cn.
authors.forename: Junzhi
authors.initials: J
authors.lastname: Yu
authors.affiliation: College of Electronic and Information Engineering, Southwest University, Chongqing 400044, PR China. Electronic address: licd@cqu.edu.cn.
authors.forename: Chuandong
authors.initials: C
authors.lastname: Li
authors.affiliation: College of Mathematics Science, Chongqing Normal University, Chongqing 401331, PR China.
authors.forename: Hui
authors.initials: H
authors.lastname: Wang
authors.affiliation: Texas A&M University at Qatar, Doha, P.O.Box 23874, Qatar. Electronic address: tingwen.huang@qatar.tamu.edu.
authors.forename: Tingwen
authors.initials: T
authors.lastname: Huang
authors.affiliation: Department of Computer Science, Chongqing University of Education, Chongqing 400067, China. Electronic address: hmomu@sina.com.
authors.forename: Junjian
authors.initials: J
authors.lastname: Huang
mesh_terms: D000465:Algorithms; D017143:Fuzzy Logic; D008959:Models, Neurological; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D013269:Stochastic Processes; D013598:Systems Theory; D035501:Uncertainty
keywords: Impulsive time window; Robust stability; Stochastic fuzzy neural networks