Solving a system of linear equations: From centralized to distributed algorithms

P Wang, S Mou, J Lian, W Ren - Annual Reviews in Control, 2019 - Elsevier
For a wide range of control engineering applications, the problem of solving a system of
linear equations is often encountered and has been well studied. Traditionally, this problem …

Distributed algorithms of solving linear matrix equations via double-layered networks

Y Huang, X Zeng, Z Meng, D Meng - Automatica, 2024 - Elsevier
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 …

A distributed algorithm for solving linear algebraic equations over random networks

SS Alaviani, N Elia - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
This article considers the problem of solving linear algebraic equations of the form Ax= b
among multiagents, which seek a solution by using local information in presence of random …

Scalable distributed least square algorithms for large-scale linear equations via an optimization approach

Y Huang, Z Meng, J Sun - Automatica, 2022 - Elsevier
This paper proposes scalable distributed least square algorithms for solving large-scale
linear algebraic equations via multi-agent network. We consider two kinds of different …

Cooperative tuning of multi-agent optimal control systems

Z Lu, W **, S Mou… - 2022 IEEE 61st …, 2022 - ieeexplore.ieee.org
This paper investigates the problem of cooperative tuning of multi-agent optimal control
systems, where a network of agents (ie multiple coupled optimal control systems) adjusts …

Distributed neurodynamic models for solving a class of system of nonlinear equations

X Han, X He, X Ju, H Che… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This article investigates a class of systems of nonlinear equations (SNEs). Three distributed
neurodynamic models (DNMs), namely a two-layer model (DNM-I) and two single-layer …

Vision paper: Grand challenges in resilience: Autonomous system resilience through design and runtime measures

S Bagchi, V Aggarwal, S Chaterji… - IEEE Open Journal …, 2020 - ieeexplore.ieee.org
In this article, we put forward the substantial challenges in cyber resilience in the domain of
autonomous systems and outline foundational solutions to address these challenges. These …

An event-based distributed least square linear equation solver employing network flow

Q Liu, Y Liu, Q Ma, W Fu, J Qin - Journal of the Franklin Institute, 2024 - Elsevier
In this article, we study a distributed, second-order, event-triggered network flow for solving
linear algebraic equations described by the form z= H y in the sense of least squares. An …

Distributed algorithms for computing a fixed point of multi-agent nonexpansive operators

X Li, L **e - Automatica, 2020 - Elsevier
This paper investigates the problem of finding a fixed point for a global nonexpansive
operator under time-varying communication graphs in real Hilbert spaces, where the global …

A distributed algorithm for solving linear equations in clustered multi-agent systems

A Rai, S Mou, BDO Anderson - IEEE Control Systems Letters, 2023 - ieeexplore.ieee.org
A new approach to solving the linear algebraic equation is presented by introducing a
leaderless clustered multi-agent system. Each agent is associated with a certain submatrix …