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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 …
A distributed algorithm for least squares solutions
In this technical note, a distributed algorithm is proposed for multiagent networks to achieve
a least squares solution of a system of linear equations, in which each agent only knows part …
a least squares solution of a system of linear equations, in which each agent only knows part …
Distributed least squares solver for network linear equations
In this paper, we study the problem of finding the least square solutions of over-determined
linear algebraic equations over networks in a distributed manner. Each node has access to …
linear algebraic equations over networks in a distributed manner. Each node has access to …
Distributed computation of linear matrix equations: An optimization perspective
This paper investigates the distributed computation of the well-known linear matrix equation
in the form of AXB= F, with the matrices A, B, X, and F of appropriate dimensions, over …
in the form of AXB= F, with the matrices A, B, X, and F of appropriate dimensions, over …
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 …
Feedback of control on mathematics: Bettering iterative methods by observer system design
D Meng - IEEE Transactions on Automatic Control, 2022 - ieeexplore.ieee.org
The control approaches generally resort to the tools from the mathematics, but whether and
how the mathematics can benefit from the control approaches is unclear. This article aims to …
how the mathematics can benefit from the control approaches is unclear. This article aims to …
Continuous distributed algorithms for solving linear equations in finite time
This paper studies the distributed algorithms to obtain a solution of the linear equation A x=
b in finite time (FT) over a multi-agent network. In order to guarantee the settling time without …
b in finite time (FT) over a multi-agent network. In order to guarantee the settling time without …
Lyapunov criterion for stochastic systems and its applications in distributed computation
This paper presents new sufficient conditions for convergence and asymptotic or
exponential stability of a stochastic discrete-time system, under which the constructed …
exponential stability of a stochastic discrete-time system, under which the constructed …