English

Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances

Analysis of PDEs 2020-04-28 v1 Optimization and Control

Abstract

We give sufficient conditions for Input-to-State Stability in C1C^{1} norm of general quasilinear hyperbolic systems with boundary input disturbances. In particular the derivation of explicit Input-to-State Stability conditions is discussed for the special case of 2×22\times 2 systems.

Keywords

Cite

@article{arxiv.2004.12026,
  title  = {Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances},
  author = {Georges Bastin and Jean-Michel Coron and Amaury Hayat},
  journal= {arXiv preprint arXiv:2004.12026},
  year   = {2020}
}

Comments

27 pages