Primal-Dual Power Control of Optical Networks with Time-Delay
نویسندگان
چکیده
We study the effects of time-delay on the stability of a primal-dual controller applied to an optical communication network. Signal powers are adjusted at the sources while the links return dynamic pricing information. The objective of the source algorithm is to adjust the signal powers such that predefined OSNR targets are achieved according to the OSNR channel optimization problem. We incorporate time-delay into the closed loop system for the multi-source single-link case. Sufficient conditions for stability are derived based on a tuning parameter in the control algorithm. The work utilizes singular perturbation theory and Lyapunov-Razumikhin time-delay techniques. We also include simulations based on realistic network parameters.
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