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Achieving coordination tasks in finite time via nonsmooth gradient flows
J. Cortés
Proceedings of the 44th IEEE Int. Conf. Decision and Control, Seville, Spain, 2005, pp. 6376-6381

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 the design of multi-agent coordination algorithms, paying special attention to their scalability properties. Finally, we consider network consensus problems and show how the proposed nonsmooth gradient flows achieve the desired coordination task in finite time.

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Mechanical and Aerospace Engineering, University of California, San Diego
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