Global exponential stability and Input-to-State Stability of semilinear hyperbolic systems for the $L^{2}$ norm
Analysis of PDEs
2020-11-26 v1 Optimization and Control
Abstract
In this paper we study the global exponential stability in the norm of semilinear - hyperbolic systems on a bounded domain, when the source term and the nonlinear boundary conditions are Lipschitz. We exhibit two sufficient stability conditions: an internal condition and a boundary condition. This result holds also when the source term is nonlocal. Finally, we show its robustness by extending it to global Input-to State Stability in the norm with respect to both interior and boundary disturbances.
Keywords
Cite
@article{arxiv.2011.12682,
title = {Global exponential stability and Input-to-State Stability of semilinear hyperbolic systems for the $L^{2}$ norm},
author = {Amaury Hayat},
journal= {arXiv preprint arXiv:2011.12682},
year = {2020}
}
Comments
29 pages, 1 figure