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Finite-time convergent gradient flows with applications to network consensus
J. Cortés
Automatica 42 (11) (2006), 1993-2000

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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Mechanical and Aerospace Engineering, University of California, San Diego
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