Finite-time convergent gradient flows with applications to network consensus |
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Authors: | Jorge Cortés [Author Vitae] |
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Affiliation: | Department of Applied Mathematics and Statistics, Baskin School of Engineering, University of California, Santa Cruz, CA 95064, USA |
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Abstract: | 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. |
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Keywords: | Gradient flows Nonsmooth analysis Finite-time convergence Network consensus Multi-agent systems |
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