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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:
4.7W

Organization

N
National University of Colombia
Scholars:
2
Papers: 2
Citations: 0
D
Department of Mathematics and Physics
Scholars:
83
Papers: 49
Citations: 23
D
departmentof electrical engineering
Scholars:
1
Papers: 1
Citations: 2
U
universite polytechnique hauts de france
Scholars:
0
Papers: 1
Citations: 1
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Cited Papers

Cited Papers

A class of predefined-time stable dynamical systems
err2017-02-27
err0
errOAAI
errJuan Diego Sánchez-Torres; David Gómez-Gutiérrez; Esteban López; Alexander G Loukianov
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errShare
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Generating new classes of fixed-time stable systems with predefined upper bound for the settling time
err2021-06-13
err0
errOAAI
errRodrigo Aldana-López; David Gómez-Gutiérrez; Esteban Jiménez-Rodríguez; Juan Diego Sánchez-Torres; Michael Defoort
errShare
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A Lyapunov-Like Characterization of Predefined-Time Stability
err2020-11-01
err243
errOAAI
errJimenez-Rodriguez, Esteban; Munoz-Vazquez, Aldo Jonathan; Sanchez-Torres, Juan Diego; Defoort, Michael; Loukianov, Alexander G.
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researcher View more