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A predefined-time framework for average consensus and distributed optimization

delete2026-01-22
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PRE
AI
P
Pablo De Villeros *
J
Juan Diego Sánchez-Torres *
M
Michael Defoort
A
Alexandre Loukianov
DOI:10.1007/s11071-025-12008-zdelete
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Abstract

Abstract

En 中文
This paper presents a generalized framework for average consensus and distributed optimization in first-order multi-agent systems under dynamic undirected networks. The framework introduces a family of predefined-time consensus functions that are not based on the homogeneity principle, in which the convergence-time bound is a user-defined parameter, regardless of the initial condition. Moreover, unlike many piecewise algorithms in the current literature, the proposed distributed optimization protocol is based on the Zero-Gradient-Sum approach but does not require local minimization. Extensive numerical simulations are conducted to illustrate the efficacy of this framework.
Keywords:
Average consensus
Distributed optimization
Multi-agent systems
Fixed-time stability
Zero gradient sum

Journal

Nonlinear Dynamics cover
Nonlinear Dynamics
IF:
6
Papers:
1.4W
Citations:
4.1W

Organization

D
Department of Electrical Engineering
Scholars:
115
Papers: 59
Citations: 9
D
Department of Mathematics and Physics
Scholars:
70
Papers: 47
Citations: 1
U
universite polytechnique hauts de france
Scholars:
11
Papers: 7
Citations: 0
N
National University of Colombia
Scholars:
28
Papers: 20
Citations: 0
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