Finite-time convergent gradient flows with applications to network consensus
Finite-time convergent gradient flows with applications to network consensus
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DOI：
10.1016/j.automatica.2006.06.015
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发表时间：
2006-11-01
期刊：
影响因子：
6.4
通讯作者：
Cortés, Jorge
中科院分区：
文献类型：
--
作者：
Cortés, Jorge
本文介绍了与可区分函数相关的归一化和签名的梯度动力学系统。扩展了非平滑稳定性分析的最新结果，我们表征了它们的渐近收敛性能并确定保证有限时间收敛的条件。我们讨论结果在多代理系统中的共识问题中的应用，并展示了提出的非平滑梯度流程如何在有限的时间内达成共识。 （c）2006 Elsevier Ltd.保留所有权利。
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.