Finite-time convergent gradient flows with applications to network consensus

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. Key words: Gradient flows; Nonsmooth analysis; Finite-time convergence; Network consensus; Multi-agent systems

• Type: Journal
• Year: 2006
• Where: AUTOMATICA
• Authors: Jorge Cortés
• Keywords: Asymptotic Convergence Properties, AUTOMATICA 2006, Finite-time Convergence, Nonsmooth Stability Analysis