Lyapunov functions and finite time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems
Optimization and Control
2020-07-09 v1 Analysis of PDEs
Abstract
Hyperbolic systems in one dimensional space are frequently used in modeling of many physical systems. In our recent works, we introduced time independent feedbacks leading to the finite stabilization for the optimal time of homogeneous linear and quasilinear hyperbolic systems. In this work, we present Lyapunov's functions for these feedbacks and use estimates for Lyapunov's functions to rediscover the finite stabilization results.
Keywords
Cite
@article{arxiv.2007.04104,
title = {Lyapunov functions and finite time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems},
author = {Jean-Michel Coron and Hoai-Minh Nguyen},
journal= {arXiv preprint arXiv:2007.04104},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2005.13269