Finite-time convergent gradient flows with applications to network consensus

Authors:
Jorge CortéS
Affiliations:
Department of Applied Mathematics and Statistics, Baskin School of Engineering, University of California, Santa Cruz, CA 95064, USA
Venue:
Automatica (Journal of IFAC)
Year:
2006

Citing 6
Cited 20

Finite-time stabilization of uncertain nonlinear planar systems

Dynamics and Control
On the Stabilization in Finite Time of Locally Controllable Systems by Means of Continuous Time-Varying Feedback Law

SIAM Journal on Control and Optimization
Finite-Time Stability of Continuous Autonomous Systems

SIAM Journal on Control and Optimization
Parallel and Distributed Computation: Numerical Methods

Parallel and Distributed Computation: Numerical Methods
Feedback Stabilization and Lyapunov Functions

SIAM Journal on Control and Optimization
Coordination and Geometric Optimization via Distributed Dynamical Systems

SIAM Journal on Control and Optimization

Distributed consensus and linear functional calculation in networks: an observability perspective

Proceedings of the 6th international conference on Information processing in sensor networks
Distributed algorithms for reaching consensus on general functions

Automatica (Journal of IFAC)
Global target aggregation and state agreement of nonlinear multi-agent systems with switching topologies

Automatica (Journal of IFAC)
Brief paper: Finite-time formation control for multi-agent systems

Automatica (Journal of IFAC)
Controlled hopwise averaging: bandwidth/energy-efficient asynchronous distributed averaging for wireless networks

ACC'09 Proceedings of the 2009 conference on American Control Conference
Scheduling for finite time consensus

ACC'09 Proceedings of the 2009 conference on American Control Conference
Information broadcasting algorithm for finite-time reaching-at-risk consensus with application to weapon-target assignment

ACC'09 Proceedings of the 2009 conference on American Control Conference
Consensus in networked multi-agent systems via sampled control: fixed topology case

ACC'09 Proceedings of the 2009 conference on American Control Conference
Consensus in networked multi-agent systems via sampled control: switching topology case

ACC'09 Proceedings of the 2009 conference on American Control Conference
On the switching control of multiple mobile robots formation

ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Brief paper: Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics

Automatica (Journal of IFAC)
Fast convergence for consensus in dynamic networks

ICALP'11 Proceedings of the 38th international conference on Automata, languages and programming - Volume Part II
Convergence Speed in Distributed Consensus and Averaging

SIAM Review
Finite-time distributed consensus via binary control protocols

Automatica (Journal of IFAC)
Discontinuities and hysteresis in quantized average consensus

Automatica (Journal of IFAC)
Continuous-time and sampled-data-based average consensus with logarithmic quantizers

Automatica (Journal of IFAC)
Finite-time consensus and collision avoidance control algorithms for multiple AUVs

Automatica (Journal of IFAC)
Global consensus for discrete-time multi-agent systems with input saturation constraints

Automatica (Journal of IFAC)
Nonsmooth finite-time stabilization of neural networks with discontinuous activations

Neural Networks
Consensus on compact Riemannian manifolds

Information Sciences: an International Journal

Quantified Score

Hi-index	22.16

Visualization

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.