title: A delayed neural network for solving linear projection equations and its analysis.
abstract: In this paper, we present a delayed neural network approach to solve linear projection equations. The Lyapunov-Krasovskii theory for functional differential equations and the linear matrix inequality (LMI) approach are employed to analyze the global asymptotic stability and global exponential stability of the delayed neural network. Compared with the existing linear projection neural network, theoretical results and illustrative examples show that the delayed neural network can effectively solve a class of linear projection equations and some quadratic programming problems.
authors.affiliation: Department of Mathematics, Southeast University, Nanjing 210096, China.
authors.forename: Qingshan
authors.initials: Q
authors.lastname: Liu
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
authors.forename: Youshen
authors.initials: Y
authors.lastname: Xia
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D003205:Computing Methodologies; D016014:Linear Models; D008954:Models, Biological; D016571:Neural Networks, Computer; D009716:Numerical Analysis, Computer-Assisted; D011382:Programming, Linear; D013997:Time Factors