Stability of Time-Delay Systems
Stability of Time-Delay Systems
Congestion control for high performance, stability, and fairness in general networks
IEEE/ACM Transactions on Networking (TON)
An extension of duality to a game-theoretic framework
Automatica (Journal of IFAC)
Asymmetric delay in evolutionary games
Proceedings of the 2nd international conference on Performance evaluation methodologies and tools
Level crossing ordering of Markov chains: computing end to end delays in an all optical network
Proceedings of the 2nd international conference on Performance evaluation methodologies and tools
| Hi-index | 0.00 |
We analyze the stability of a game-theoretic based power control algorithm for optical networks in the presence of time-delays. The control objective is to achieve optimal optical signal to noise ratio (OSNR) values for the signal channels. The control algorithms regularly adjust the signal powers entering the network based on a game-theoretic model. Each signal power is modeled as a player, whose goal is to maximize its own utility function. The utility function increases with an increasing OSNR value, and hence requires an increasing signal power. The trade-off is that if one player increases its OSNR value, this adversely affects the OSNR values of all of the other players. In addition to the signal powers, a dynamic price parameter is fed back to the power control algorithms. Time-delay is present for both the channel pricing parameter and the OSNR feedbacks in the network. We study the stability of the closed loop, time-delay system. The work utilizes singular perturbation theory modified to handle Lyapunov-Krasovskii techniques.