Finite-time convergent gradient flows with applications to network consensus

被引：691

作者：

Cortés, Jorge ^{[1
]}

机构：

[1] Univ Calif Santa Cruz, Baskin Sch Engn, Dept Appl Math & Stat, Santa Cruz, CA 95064 USA

来源：

AUTOMATICA | 2006年 / 42卷 / 11期

基金：

美国国家科学基金会;

关键词：

gradient flows; nonsmooth analysis; finite-time convergence; network consensus; multi-agent systems;

D O I：

10.1016/j.automatica.2006.06.015

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper introduces the normalized and signed gradient dynamical systems associated with a differentiable function. Extending recent results on nonsmooth stability analysis, we characterize their asymptotic convergence properties and identify conditions that guarantee finite-time convergence. We discuss the application of the results to consensus problems in multi-agent systems and show how the proposed nonsmooth gradient flows achieve consensus in finite time. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1993 / 2000

页数：8

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