Zhang neural network, Getz–Marsden dynamic system, and discrete-time algorithms for time-varying matrix inversion with application to robots' kinematic control

D Guo, Y Zhang - Neurocomputing, 2012 - Elsevier
In this paper, we present, develop and investigate a special kind of recurrent neural network
termed Zhang neural network (ZNN) for time-varying matrix inversion. Comparing with the …

Enhanced discrete-time Zhang neural network for time-variant matrix inversion in the presence of bias noises

M Mao, J Li, L Jin, S Li, Y Zhang - Neurocomputing, 2016 - Elsevier
Inevitable noises and limited computational time are major issues for time-variant matrix
inversion in practice. When designing a time-variant matrix inversion algorithm, it is highly …

Dynamical methods for polar decomposition and inversion of matrices

NH Getz, JE Marsden - Linear algebra and its applications, 1997 - Elsevier
We show how to obtain polar decomposition as well as inversion of fixed and time-varying
matrices using a class of nonlinear continuous-time dynamical systems. First we construct a …

A virtual motorcycle driver for closed-loop simulation

R Frezza, A Beghi - IEEE Control Systems Magazine, 2006 - ieeexplore.ieee.org
The development of a motorcycle driver for virtual prototyping applications is discussed. The
driver is delivered with a commercial multibody code as a tool for performing closed-loop …

A dynamic inverse for nonlinear maps

NE Getz, JE Marsden - … of 1995 34th IEEE Conference on …, 1995 - ieeexplore.ieee.org
We consider the problem of estimating the time-varying root of a time-dependent nonlinear
map. We introduce a" dynamic inverse" of a map, another generally time-dependent map …

Time-varying complex matrix inverse

Y Zhang, D Guo, Y Zhang, D Guo - Zhang Functions and Various Models, 2015 - Springer
In this chapter, the ZD approach is further extended and exploited for time-varying matrix
inversion in complex domain. Specifically, focusing on time-varying complex matrix …

PERFORMANCE ANALYSIS OF LI-HYPERBOLIC SINE ACTIVATION FUNCTION FOR TIME-VARYING COMPLEX PROBLEMS

G Sowmya, P Thangavel - International Journal of Applied …, 2022 - diogenes.bg
A new nonlinear activation function is formulated to minimize the time taken to converge to
the solution of the complex-valued time-varying problems such as matrix inversion, linear …

Time-Varying Matrix Inverse

Y Zhang, D Guo, Y Zhang, D Guo - Zhang Functions and Various Models, 2015 - Springer
In this chapter, focusing on time-varying matrix inversion, we propose, generalize, develop,
and investigate different ZFs that lead to different ZD models. Meanwhile, a specific …

Time-Varying Matrix Left Pseudoinverse

Y Zhang, D Guo, Y Zhang, D Guo - Zhang Functions and Various Models, 2015 - Springer
In this chapter, focusing on time-varying matrix left pseudoinversion, we propose,
generalize, develop, and investigate five different ZD models by introducing five different …

Time-Varying Matrix Right Pseudoinverse

Y Zhang, D Guo, Y Zhang, D Guo - Zhang Functions and Various Models, 2015 - Springer
In Chap. 8, different ZD models based on ZFs have been presented for time-varying matrix
left pseudoinversion. Being another case study of pseudoinverse for a time-varying …