Gradient-based differential neural-solution to time-dependent nonlinear optimization

L Jin, L Wei, S Li - IEEE Transactions on Automatic Control, 2022 - ieeexplore.ieee.org
In this technical article, to seek the optimal solution to time-dependent nonlinear optimization
subject to linear inequality and equality constraints (TDNO-IEC), the gradient-based …

Dynamic neural network models for time-varying problem solving: a survey on model structures

C Hua, X Cao, Q Xu, B Liao, S Li - IEEE Access, 2023 - ieeexplore.ieee.org
In recent years, neural networks have become a common practice in academia for handling
complex problems. Numerous studies have indicated that complex problems can generally …

Double integral‐enhanced Zeroing neural network with linear noise rejection for time‐varying matrix inverse

B Liao, L Han, X Cao, S Li, J Li - CAAI Transactions on …, 2024 - Wiley Online Library
In engineering fields, time‐varying matrix inversion (TVMI) issue is often encountered.
Zeroing neural network (ZNN) has been extensively employed to resolve the TVMI problem …

GNN model for time-varying matrix inversion with robust finite-time convergence

Y Zhang, S Li, J Weng, B Liao - IEEE Transactions on Neural …, 2022 - ieeexplore.ieee.org
As a type of recurrent neural networks (RNNs) modeled as dynamic systems, the gradient
neural network (GNN) is recognized as an effective method for static matrix inversion with …

Exploiting the Black-Litterman framework through error-correction neural networks

SD Mourtas, VN Katsikis - Neurocomputing, 2022 - Elsevier
Abstract The Black-Litterman (BL) model is a particularly essential analytical tool for effective
portfolio management in financial services sector since it enables investment analysts to …

Inter-robot management via neighboring robot sensing and measurement using a zeroing neural dynamics approach

B Liao, C Hua, Q Xu, X Cao, S Li - Expert Systems with Applications, 2024 - Elsevier
This paper proposes a complex number representation method for dynamically recording
robot positions and develops an optimization strategy for measuring and minimizing inter …

Solving time-varying nonsymmetric algebraic Riccati equations with zeroing neural dynamics

TE Simos, VN Katsikis, SD Mourtas… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
The problem of solving algebraic Riccati equations (AREs) and certain linear matrix
equations which arise from the ARE frequently occur in applied and pure mathematics …

A higher-order zeroing neural network for pseudoinversion of an arbitrary time-varying matrix with applications to mobile object localization

TE Simos, VN Katsikis, SD Mourtas, PS Stanimirović… - Information …, 2022 - Elsevier
The hyperpower family of iterative methods with arbitrary convergence order is one of the
most used methods for estimating matrix inverses and generalized inverses, whereas the …

Unique non-negative definite solution of the time-varying algebraic Riccati equations with applications to stabilization of LTV systems

TE Simos, VN Katsikis, SD Mourtas… - … and Computers in …, 2022 - Elsevier
In the context of infinite-horizon optimal control problems, the algebraic Riccati equations
(ARE) arise when the stability of linear time-varying (LTV) systems is investigated. Using the …

Zeroing neural network for pseudoinversion of an arbitrary time-varying matrix based on singular value decomposition

M Kornilova, V Kovalnogov, R Fedorov, M Zamaleev… - Mathematics, 2022 - mdpi.com
Many researchers have investigated the time-varying (TV) matrix pseudoinverse problem in
recent years, for its importance in addressing TV problems in science and engineering. In …