We solve the problem of stabilization of a class of linear first-order hyperbolic systems featuring n rightward convecting transport PDEs and m leftward convecting transport PDEs. Using the backstepping approach yields solutions to stabilization in minimal time and observer based output feedback.
@article{arxiv.1510.04424,
title = {Minimum time control of heterodirectional linear coupled hyperbolic PDEs},
author = {Jean Auriol and Florent Di Meglio},
journal= {arXiv preprint arXiv:1510.04424},
year = {2015}
}