Convergence of Newton's Method via Lyapunov Analysis Academic Article uri icon

abstract

  • The convergence of Newton's method was demonstrated using Lyapunov's direct method. For points that begins near the solution x*, the Lyapunov function that led to the inequality condition was conservative. Examples of robot trajectories, where nine robots were tasked with localizing an unknown source were presented. Analysis shows that the stability of the equilibrium point along trajectories commensurate with the position update law for each robot, follows from the Lyapunov analysis convergence proof.

altmetric score

  • 3

author list (cited authors)

  • Hurtado, J. E., & Robinett, R. D.

citation count

  • 6

publication date

  • March 2005