Title
A finite-time convergent dynamic system for solving online simultaneous linear equations.
Abstract
A new dynamic system is proposed and investigated for solving online simultaneous linear equations. Compared with the gradient-based dynamic system and the recently proposed Zhang dynamic system, the proposed dynamic system can achieve superior convergence performance i.e. finite-time convergence and thus is called the finite-time convergent dynamic system. In addition, the upper bound of the convergence time is derived analytically with the error bound being zero theoretically. Simulation results further indicate that the proposed dynamic system is much more efficient than the existing dynamic systems.
Year
DOI
Venue
2017
10.1080/00207160.2016.1247436
Int. J. Comput. Math.
Keywords
Field
DocType
Simultaneous linear equations, gradient-based dynamics, Zhang dynamics (ZD), upper bound, finite-time convergence, 60-08, 65C20
Convergence (routing),Linear equation,Mathematical optimization,Upper and lower bounds,Mathematical analysis,Dynamical system,Mathematics,Finite time
Journal
Volume
Issue
ISSN
94
9
0020-7160
Citations 
PageRank 
References 
5
0.41
15
Authors
6
Name
Order
Citations
PageRank
Lin Xiao156242.84
Bolin Liao228118.70
Jie Jin3379.30
Rongbo Lu41015.12
Xi Yang53717.39
Lei Ding614226.77