Zeroing neural network with comprehensive performance and its applications to time-varying Lyapunov equation and perturbed robotic tracking

2020 ◽  
Vol 418 ◽  
pp. 79-90
Author(s):  
Zeshan Hu ◽  
Kenli Li ◽  
Keqin Li ◽  
Jichun Li ◽  
Lin Xiao
Keyword(s):  
Neural Network ◽  
Lyapunov Equation ◽  
Time Varying ◽  
Robotic Tracking ◽  
Comprehensive Performance

STABILITY CRITERION OF A CLASS OF NEUTRAL NEURAL NETWORK WITH UNCERTAINTIES AND TIME-VARYING DELAY

2011 ◽  
Vol 08 (01) ◽  
pp. 75-82
Author(s):  
JIANJUN TU ◽  
HANLIN HE
Keyword(s):  
Neural Network ◽  
Asymptotic Stability ◽  
Lyapunov Functional ◽  
Lyapunov Equation ◽  
Positive Definite ◽  
Time Varying ◽  
Time Varying Delay ◽  
Uniformly Asymptotic Stability ◽  
The Stability ◽  
Varying Delay

Under reasonable postulated conditions of time-varying delay, the stability of a class of neutral neural network is probed. Based on the proper construction of the Lyapunov functional, a new method of predicating the uniformly asymptotic stability of this kind of neutral network is presented. The criterion is based on the positive definite solutions of a Riccati equation and a discrete Lyapunov equation, and is converted to LMI problem. The validity of the criterion is also confirmed by the simulation.

A noise-suppressing Newton-Raphson iteration algorithm for solving the time-varying Lyapunov equation and robotic tracking problems

2021 ◽  
Vol 550 ◽  
pp. 239-251
Author(s):  
Guancheng Wang ◽  
Haoen Huang ◽  
Limei Shi ◽  
Chuhong Wang ◽  
Dongyang Fu ◽  
...  
Keyword(s):  
Lyapunov Equation ◽  
Iteration Algorithm ◽  
Time Varying ◽  
Robotic Tracking ◽  
Newton Raphson ◽  
Raphson Iteration

Real-domain QR decomposition models employing zeroing neural network and time-discretization formulas for time-varying matrices

2021 ◽  
Vol 448 ◽  
pp. 217-227
Author(s):  
Zhenyu Li ◽  
Yunong Zhang ◽  
Liangjie Ming ◽  
Jinjin Guo ◽  
Vasilios N. Katsikis
Keyword(s):  
Neural Network ◽  
Time Discretization ◽  
Qr Decomposition ◽  
Time Varying ◽  
Real Domain ◽  
Decomposition Models
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