Journal
AUTOMATICA
Volume 42, Issue 11, Pages 1993-2000Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2006.06.015
Keywords
gradient flows; nonsmooth analysis; finite-time convergence; network consensus; multi-agent systems
Funding
- Directorate For Engineering
- Div Of Electrical, Commun & Cyber Sys [830601] Funding Source: National Science Foundation
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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.
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