Finite-time convergent gradient flows with applications to network consensus

نویسنده

  • Jorge Cortés
چکیده

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 multiagent systems and show how the proposed nonsmooth gradient flows achieve consensus in finite time.

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عنوان ژورنال:
  • Automatica

دوره 42  شماره 

صفحات  -

تاریخ انتشار 2006