This paper focuses on designing distributed algorithms for solving the linear matrix equation
in the form of AXB= F via a double-layered multi-agent network. Firstly, we equivalently …

Abstract The Newton-Raphson iteration (NRI) algorithm is a prevalent computational
methodology in many fields and can be used to solve the time-varying Lyapunov equation …

As an extension of the Lyapunov equation, the time-varying plural Lyapunov tensor equation
(TV-PLTE) can carry multidimensional data, which can be solved by zeroing neural network …

An optimization problem is at the heart of many robotics estimating, planning, and optimum
control problems. Several attempts have been made at model-based multi-robot localization …

A distributed optimization method for solving nonlinear equations with constraints is
developed in this paper. The multiple constrained nonlinear equations are converted into an …

In this study, the authors design distributed algorithms for solving the Sylvester equation in
the sense of least squares over a multi‐agent network. In the problem setup, every agent in …

In this paper, we develop a distributed solver for a group of strict (non-strict) linear matrix
inequalities over a multi-agent network, where each agent only knows one inequality, and …

With the development of the information age, the importance of edge computing has been
highlighted in industrial site monitoring, health management, and fault diagnosis. Among …

Time-varying Lyapunov tensor equation (TV-LTE) is an extension of time-varying Lyapunov
matrix equation (TV-LME), which represents more dimensions of data. In order to solve the …

This article develops distributed synchronous and asynchronous algorithms for the large-
scale semidefinite programming with diagonal constraints, which has wide applications in …