Conference Proceedings

Pattern Control for Networks of Ginzburg-Landau Oscillators via Markov Decision Processes

Airlie Chapman, Eric Schoof, Mehran Mesbahi

2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC) | IEEE | Published : 2016

Abstract

This paper proposes a design methodology for pattern control in a network of identical oscillators. Patterns correspond to a stable equilibrium in an oscillator network over different coupling coefficients and available network topologies. We show that the discrete graph based version of the Ginzburg-Landau equation, referred to as the graph Ginzburg-Landau dynamics, exhibits n pattern equilibrium for an n-node cycle graph with the sign of the oscillator coupling coefficient dictating the stability of the pattern. The pattern control problem is cast as a discrete Markov Decision Process (MDP) whose state space is the set of patterns realizable on subgraphs of the network. Actions in the MDP ..

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Grants

Awarded by U.S. Army Research Office


Funding Acknowledgements

The research of the authors was supported by the U.S. Army Research Laboratory and the U.S. Army Research Office under contract number W911NF-13-1-0340. The authors are with the Department of Aeronautics and Astronautics, University of Washington, WA 98195. Emails: {airliec, eschoof, mesbahi}@uw.edu.