A variable-parameter ZNN with predefined-time convergence for dynamic complex-valued Lyapunov equation and its application to AOA positioning

Y He, L Xiao, F Sun, Y Wang - Applied Soft Computing, 2022 - Elsevier
Zeroing neural network (ZNN) is an effective means of handling the dynamic Lyapunov
equation. However, the conventional ZNN's convergence speed relies heavily on its initial …

An SOR implicit iterative algorithm for coupled Lyapunov equations

AG Wu, HJ Sun, Y Zhang - Automatica, 2018 - Elsevier
A novel implicit iterative algorithm is presented via successive over relaxation (SOR)
iterations in this paper for solving the coupled Lyapunov matrix equation related to …

A new iterative algorithm for solving H control problem of continuous‐time Markovian jumping linear systems based on online implementation

J Song, S He, Z Ding, F Liu - International Journal of Robust …, 2016 - Wiley Online Library
A new online iterative algorithm for solving the H∞ control problem of continuous‐time
Markovian jumping linear systems is developed. For comparison, an available offline …

Wsbp function activated Zhang dynamic with finite-time convergence applied to Lyapunov equation

X Lv, L Xiao, Z Tan, Z Yang - Neurocomputing, 2018 - Elsevier
This paper investigates the solution of Lyapunov equation by neural dynamics. Specially, an
improved finite-time Zhang dynamic (IFTZD), which is activated by weighted sign-bi-power …

[图书][B] Complex conjugate matrix equations for systems and control

AG Wu, Y Zhang - 2017 - Springer
Theory of matrix equations is an important branch of mathematics, and has broad
applications in many engineering fields, such as control theory, information theory, and …

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

Z Hu, K Li, K Li, J Li, L Xiao - Neurocomputing, 2020 - Elsevier
The time-varying Lyapunov equation is an important problem that has been extensively
employed in the engineering field and the Zeroing Neural Network (ZNN) is a powerful tool …

Accelerated smith iterative algorithms for coupled Lyapunov matrix equations

HJ Sun, Y Zhang, YM Fu - Journal of the Franklin Institute, 2017 - Elsevier
In this paper, a kind of explicit iterative algorithm is studied by using Smith methods for
solving coupled Lyapunov matrix equations arising in continuous-time Markovian jump …

A relaxed MSIO iteration algorithm for solving coupled discrete Markovian jump Lyapunov equations

Z Tian, X Li, T Xu, Z Liu - Journal of the Franklin Institute, 2021 - Elsevier
In this paper, combining the multi-step Smith-inner-outer (MSIO) iteration framework with
some tunable parameters, a relaxed MSIO iteration method is proposed for solving the …

Predefined-Time Stability-Based Zeroing Neural Networks and Their Application in Solving the Lyapunov Equation

Y Yue, L Mi, C Chen, Y Yang - Neural Processing Letters, 2024 - Springer
Lyapunov equation is extensively applied in engineering areas, and zeroing neural
networks (ZNN) are very effective in solving this kind of equation. In this paper, two …

New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations

Z Tian, CM Fan, Y Deng, PH Wen - Journal of the Franklin Institute, 2018 - Elsevier
In this paper, based on the Smith iteration (Smith, 1968), an inner-outer (IO) iteration
algorithm for solving the coupled Lyapunov matrix equations (CLMEs) is presented. First, the …