Boundary exponential stabilization of 1-D inhomogeneous quasilinear hyperbolic systems
Optimization and Control
2015-12-14 v1
Abstract
This paper deals with the problem of boundary stabilization of first-order n\times n inhomogeneous quasilinear hyperbolic systems. A backstepping method is developed. The main result supplements the previous works on how to design multi-boundary feedback controllers to realize exponential stability of the original nonlinear system in the spatial H^2 sense.
Keywords
Cite
@article{arxiv.1512.03539,
title = {Boundary exponential stabilization of 1-D inhomogeneous quasilinear hyperbolic systems},
author = {Long Hu and Rafael Vazquez and Florent Di Meglio and Miroslav Krstic},
journal= {arXiv preprint arXiv:1512.03539},
year = {2015}
}