English

Output feedback stabilization for a scalar conservation law with a nonlocal velocity

Optimization and Control 2015-03-11 v1 Analysis of PDEs

Abstract

In this paper, we study the output feedback stabilization for a scalar conservation law with a nonlocal velocity, that models a highly re-entrant manufacturing system as encountered in semi-conductor production. By spectral analysis, we obtain a complete result on the exponential stabilization for the linearized control system. Moreover, by using a Lyapunov function approach, we also prove the exponential stabilization results for the nonlinear control system in certain cases.

Keywords

Cite

@article{arxiv.1301.6594,
  title  = {Output feedback stabilization for a scalar conservation law with a nonlocal velocity},
  author = {Jean-Michel Coron and Zhiqiang Wang},
  journal= {arXiv preprint arXiv:1301.6594},
  year   = {2015}
}

Comments

22 pages