Sonia Martínez
Jacobs Faculty Scholar
Professor of Mechanical and Aerospace Engineering
Jacobs Faculty Scholar
Professor of Mechanical and Aerospace Engineering
This paper proposes novel nonlinear continuous-time algorithms to solve a class of fair resource allocation problems in a distributed manner. The algorithms are robust in the sense that temporary errors in communication or computation do not change their convergence to the right equilibrium point. To analyze convergence of the algorithms, we use nonlinear analysis tools that exploit partial stability theory and nonsmooth Lyapunov analysis. We illustrate the applicability of the approach over a problem of virus spreading minimization in computer and human networks.
@article{ER-SM:17-tnse,
author = {E. Ram{\'\i}rez-Llanos and S. Mart{\'\i}nez},
title = {Distributed and robust fair optimization applied to virus
diffusion control},
journal= {IEEE Transactions on Network Science and Engineering},
year = {2017},
volume ={4},
number = {1},
pages = {41--54}
}