Optimal distributed controllers based on gradient-flow method for multi-agent coordination

Author(s):  
Kazunori Sakurama ◽  
Shun-ichi Azuma ◽  
Toshiharu Sugie
2015 ◽  
Vol 60 (6) ◽  
pp. 1471-1485 ◽  
Author(s):  
Kazunori Sakurama ◽  
Shun-ichi Azuma ◽  
Toshiharu Sugie

2020 ◽  
Vol 16 (3) ◽  
pp. 255-269
Author(s):  
Enrico Bozzo ◽  
Paolo Vidoni ◽  
Massimo Franceschet

AbstractWe study the stability of a time-aware version of the popular Massey method, previously introduced by Franceschet, M., E. Bozzo, and P. Vidoni. 2017. “The Temporalized Massey’s Method.” Journal of Quantitative Analysis in Sports 13: 37–48, for rating teams in sport competitions. To this end, we embed the temporal Massey method in the theory of time-varying averaging algorithms, which are dynamic systems mainly used in control theory for multi-agent coordination. We also introduce a parametric family of Massey-type methods and show that the original and time-aware Massey versions are, in some sense, particular instances of it. Finally, we discuss the key features of this general family of rating procedures, focusing on inferential and predictive issues and on sensitivity to upsets and modifications of the schedule.


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