Large Time Stability Control for a Class of Quasilinear Parabolic and Hyperbolic Equations
Hongen Li, SHuxian Deng
Available Online March 2017.
- 10.2991/amcce-17.2017.2How to use a DOI?
- Large; Decay; Inequality; Time.
In this paper, we concerned with the stability control of solutions for a class of quasi-linear wave equations with weak attenuation. We use a so-called energy perturbation method to establish weak controllability of solutions in terms of energy norm for a class of nonlinear functions. We show the weak controllability with the help of differential inequalities by estimating the relationship between energy inequalities and attenuating property of weak solutions.
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Hongen Li AU - SHuxian Deng PY - 2017/03 DA - 2017/03 TI - Large Time Stability Control for a Class of Quasilinear Parabolic and Hyperbolic Equations BT - Proceedings of the 2017 2nd International Conference on Automation, Mechanical Control and Computational Engineering (AMCCE 2017) PB - Atlantis Press SP - 5 EP - 8 SN - 2352-5401 UR - https://doi.org/10.2991/amcce-17.2017.2 DO - 10.2991/amcce-17.2017.2 ID - Li2017/03 ER -