Title
Simply And Effectively Proved Square Characteristics Of Discrete-Time Zd Solving Systems Of Time-Varying Nonlinear Equations
Abstract
A special class of continuous-time neural dynamics termed Zhang dynamics (ZD) has been investigated and generalized for solving the systems of time-varying nonlinear equations (STVNE). For possible digital hardware realization, the discrete-time ZD (DTZD) models are presented and investigated in this paper for solving the STVNE in the form of f (x(t), t) = 0 epsilon R-n. For comparative purposes, the Newton iteration is also presented to solve the STVNE. Theoretical analysis, as simply and effectively proved, shows that the steady-state residual errors of the presented DTZD models are of O (tau(2)), which is further verified by the follow-up numerical experiments.
Year
DOI
Venue
2015
10.1109/ICInfA.2015.7279516
2015 IEEE INTERNATIONAL CONFERENCE ON INFORMATION AND AUTOMATION
Keywords
Field
DocType
Systems of time-varying nonlinear equations (STVNE), Discrete-time Zhang dynamics (DTZD), Residual errors, Newton iteration
Residual,Nonlinear system,Numerical models,Mathematical analysis,Steady state,Discrete time and continuous time,Trajectory,Mathematics,Newton's method
Conference
Citations 
PageRank 
References 
2
0.39
6
Authors
5
Name
Order
Citations
PageRank
Yunong Zhang12344162.43
heng qiu220.39
Chen Peng3223.15
yanyan shi420.39
Hong-Zhou Tan519633.88