A Finite-Time Dual Method for Negotiation between Dynamical Systems
@article{Zelazo2013AFD, title={A Finite-Time Dual Method for Negotiation between Dynamical Systems}, author={Daniel Zelazo and Mathias B{\"u}rger and Frank Allg{\"o}wer}, journal={SIAM J. Control. Optim.}, year={2013}, volume={51}, pages={172-194} }
This work presents a distributed algorithm for online negotiations of an optimal control policy between dynamical systems. We consider a network of self-interested agents that must agree upon a common state within a specified finite time. The proposed algorithm exploits the distributed structure of the corresponding dual problem and uses a “shrinking horizon” property to enforce the finite-time constraint. It is shown that this algorithm evolves like a time-varying and linear dynamical system…
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