Optimal synthesis for finite-time consensus under fixed graphs

Supratim Ghosh, Ji-Woong Lee
2011 IEEE Conference on Decision and Control and European Control Conference  
Synthesis of optimal controllers achieving finitetime consensus for a network of multiple agents described by a fixed connectivity graph is considered. The solution procedure involves posing a partially nested decentralized control problem and converting it to a constrained convex optimization problem invoking quadratic invariance. The dynamic feedback controller thus synthesized optimizes a transient performance measure and guarantees consensus within a minimal number of steps.
doi:10.1109/cdc.2011.6160474 dblp:conf/cdc/GhoshL11 fatcat:6gttdu425rfwlpfae7sn6cf5pi