[图书][B] Nonholonomic mechanics

AM Bloch, AM Bloch - 2015 - Springer
Nonholonomic systems provide an important class of mechanical control systems. One
reason for this importance is that nonintegrability is essential to both the mechanics and the …

RNN models for dynamic matrix inversion: A control-theoretical perspective

L Jin, S Li, B Hu - IEEE Transactions on Industrial Informatics, 2017 - ieeexplore.ieee.org
In this paper, the existing recurrent neural network (RNN) models for solving zero-finding
(eg, matrix inversion) with time-varying parameters are revisited from the perspective of …

Novel discrete-time Zhang neural network for time-varying matrix inversion

D Guo, Z Nie, L Yan - IEEE Transactions on Systems, Man, and …, 2017 - ieeexplore.ieee.org
In the previous work, Zhang et al. developed a special type of recurrent neural networks
called Zhang neural network (ZNN) with continuous-time and discrete-time forms for time …

Different complex ZFs leading to different complex ZNN models for time-varying complex generalized inverse matrices

B Liao, Y Zhang - IEEE Transactions on Neural Networks and …, 2013 - ieeexplore.ieee.org
As a special class of recurrent neural network, Zhang neural network (ZNN) has been
recently proposed since 2001 for solving various time-varying problems, and has shown …

[图书][B] Dynamic inversion of nonlinear maps with applications to nonlinear control and robotics

NH Getz - 1995 - search.proquest.com
This dissertation introduces the notion of a dynamic inverse of a nonlinear map. The
dynamic inverse is used in the construction of nonlinear dynamical system, called a dynamic …

Analysis and application of modified ZNN design with robustness against harmonic noise

D Guo, S Li, PS Stanimirović - IEEE Transactions on Industrial …, 2019 - ieeexplore.ieee.org
The Zhang neural network (ZNN) has recently realized remarkable success in solving time-
varying problems. Harmonic noise widely exists in industrial applications and can severely …

Inverse-free DZNN models for solving time-dependent linear system via high-precision linear six-step method

M Yang, Y Zhang, H Hu - IEEE Transactions on Neural …, 2022 - ieeexplore.ieee.org
Time-dependent linear system (TDLS) is usually encountered in scientific research, which is
the mathematical formulation of many practical applications. Different from conventional …

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 …

From different ZFs to different ZNN models accelerated via Li activation functions to finite-time convergence for time-varying matrix pseudoinversion

B Liao, Y Zhang - Neurocomputing, 2014 - Elsevier
In this paper, a special class of recurrent neural network, termed Zhang neural network
(ZNN), is investigated for the online solution of the time-varying matrix pseudoinverse …

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 …