Solving a system of linear equations: From centralized to distributed algorithms
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 …
linear equations is often encountered and has been well studied. Traditionally, this problem …
Distributed algorithms of solving linear matrix equations via double-layered networks
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 …
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 …
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
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 …
linear algebraic equations via multi-agent network. We consider two kinds of different …
Cooperative tuning of multi-agent optimal control systems
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 …
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
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 …
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
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 …
autonomous systems and outline foundational solutions to address these challenges. These …
An event-based distributed least square linear equation solver employing network flow
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 …
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
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 …
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 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 …
leaderless clustered multi-agent system. Each agent is associated with a certain submatrix …