Title
Finite-Time Convergence And Robustness Analysis Of Two Nonlinear Activated Znn Models For Time-Varying Linear Matrix Equations
Abstract
Based on zeroing neural network (ZNN), this paper designs two nonlinear activated ZNN (NAZNN) models for time-varying linear matrix equation through taking two new activation functions into consideration. The purpose of constructing the novel models is to solve the problem of time-varying linear matrix equation quickly and precisely. Theoretical analysis proves that two new activation functions can not only accelerate the convergence rate of the prime ZNN models but also come true finite-time convergence. After adding differential error and model-implementation error into the models, the theoretical upper bounds of the steady state residual errors are calculated, which demonstrate the superior robustness of the proposed two NAZNN models. Finally, comparative simulation results show the excellent performance of the proposed two NAZNN models by solving time-varying linear matrix equation.
Year
DOI
Venue
2019
10.1109/ACCESS.2019.2941961
IEEE ACCESS
Keywords
DocType
Volume
Time-varying linear matrix equation, zeroing neural network (ZNN), activation functions, finite-time convergence, steady state residual error
Journal
7
ISSN
Citations 
PageRank 
2169-3536
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Lin Xiao156242.84
Lei Jia213.39
Yongsheng Zhang320443.58
Zeshan Hu400.34
Jianhua Dai589651.62