Data filtering-based multi-innovation forgetting gradient algorithms for input nonlinear FIR-MA systems with piecewise-linear characteristics

2021 ◽  
Author(s):  
Yamin Fan ◽  
Ximei Liu
Keyword(s):  
Piecewise Linear ◽  
Data Filtering ◽  
Gradient Algorithms

scholarly journals DATA FILTERING BASED STOCHASTIC GRADIENT ALGORITHMS FOR MULTIVARIABLE CARAR-LIKE SYSTEMS

2013 ◽  
Vol 18 (3) ◽  
pp. 374-385 ◽  
Author(s):  
Dongqing Wang ◽  
Tong Shan ◽  
Rui Ding
Keyword(s):  
Colored Noise ◽  
Stochastic Gradient ◽  
Gradient Algorithm ◽  
Data Filtering ◽  
Gradient Estimation ◽  
Identification Problems ◽  
Hierarchical Identification ◽  
Estimation Algorithms ◽  
Stochastic Gradient Algorithm ◽  
Gradient Algorithms

This paper considers identification problems for a multivariable controlled autoregressive system with autoregressive noises. A hierarchical generalized stochastic gradient algorithm and a filtering based hierarchical stochastic gradient algorithm are presented to estimate the parameter vectors and parameter matrix of such multivariable colored noise systems, by using the hierarchical identification principle. The simulation results show that the proposed hierarchical gradient estimation algorithms are effective.

Chaos in a manifold piecewise linear system

1981 ◽  
Vol 64 (10) ◽  
pp. 9-17 ◽  
Author(s):  
Toshimichi Saito ◽  
Hiroichi Fujita
Keyword(s):  
Linear System ◽  
Piecewise Linear ◽  
Piecewise Linear System
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