scholarly journals Generalized weak rigidity: Theory, and local and global convergence of formations

2020 ◽  
Vol 146 ◽  
pp. 104800
Author(s):  
Seong-Ho Kwon ◽  
Hyo-Sung Ahn
Keyword(s):  
Global Convergence ◽  
Rigidity Theory ◽  
Local And Global Convergence

scholarly journals On the Stability of Swarm Consensus Under Noisy Control

2011 ◽  
Author(s):  
Bruce Rogers ◽  
Gregory K. Fricke ◽  
Devendra P. Garg
Keyword(s):  
Random Walk ◽  
Global Convergence ◽  
Rate Of Convergence ◽  
Formal Analysis ◽  
Consensus Problem ◽  
Convergence Properties ◽  
Graph Theoretic ◽  
Simulation Results ◽  
The Stability ◽  
Local And Global Convergence

Representation of a swarm of independent robotic agents under graph-theoretic constructs allows for more formal analysis of convergence properties. We consider the local and global convergence behavior of an N-member swarm of agents in a modified consensus problem wherein the connectivity of agents is governed by probabilistic functions. The addition of a random walk control ensures ε-stability of the swarm consensus. Simulation results are given to show the rate of convergence to consensus and planned experiments are described.

scholarly journals The Levenberg-Marquardt-Type Methods for a Kind of Vertical Complementarity Problem

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Shou-qiang Du ◽  
Yan Gao
Keyword(s):  
Global Convergence ◽  
Complementarity Problem ◽  
Numerical Experiments ◽  
Convergence Results ◽  
Nonsmooth Equation ◽  
Levenberg Marquardt ◽  
Local And Global Convergence

Two kinds of the Levenberg-Marquardt-type methods for the solution of vertical complementarity problem are introduced. The methods are based on a nonsmooth equation reformulation of the vertical complementarity problem for its solution. Local and global convergence results and some remarks about the two kinds of the Levenberg-Marquardt-type methods are also given. Finally, numerical experiments are reported.

Local and Global Convergence of On-Line Learning

1995 ◽  
Vol 75 (7) ◽  
pp. 1415-1418 ◽  
Author(s):  
N. Barkai ◽  
H. S. Seung ◽  
H. Sompolinsky
Keyword(s):  
Global Convergence ◽  
On Line ◽  
On Line Learning ◽  
Local And Global Convergence
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