Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Distributed event-triggered optimization for linear programming
D. Richert, J. Cortés
Proceedings of the IEEE Conference on Decision and
Control, Los Angeles, California, USA, 2014, pp. 2007-2012
Abstract
This paper considers a network of agents whose
objective is for the aggregate of their states to
converge to a solution of a linear program. We
assume that each agent has limited information about
the problem data and communicates with other agents
at discrete times of its choice. Our main
contribution is the development of a distributed
continuous-time dynamics and a set of state-based
rules, termed triggers, that an individual agent can
use to determine when to broadcast its state to
neighboring agents to ensure convergence. Our
technical approach to the algorithm design and
analysis overcomes a number of challenges, including
establishing convergence in the absence of a common
smooth Lyapunov function, ensuring that the triggers
are detectable by agents using only local
information, and accounting for the asynchronism in
the state broadcasts of the agents. Simulations
illustrate our results.
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Mechanical and Aerospace Engineering,
University of California, San Diego
9500 Gilman Dr,
La Jolla, California, 92093-0411
Ph: 1-858-822-7930
Fax: 1-858-822-3107
cortes at ucsd.edu
Skype id:
jorgilliyo