Linearized stability analysis of nonlinear partial differential equations
Analysis of PDEs
2015-09-22 v1 Dynamical Systems
Abstract
Lyapunov's indirect method is an attractive method for analyzing stability of non-linear systems since only the stability of the corresponding linearized system needs to be determined. Unfortunately, the proof for finite-dimensional systems does not generalize to infinite-dimensions. In this paper a unified approach to Lyapunov's indirect method for infinite-dimensional system is described. It is shown how existing sufficient conditions fit this framework and a new sufficient condition is presented.
Cite
@article{arxiv.1509.05792,
title = {Linearized stability analysis of nonlinear partial differential equations},
author = {Rasha Al Jamal and Amenda Chow and Kirsten Morris},
journal= {arXiv preprint arXiv:1509.05792},
year = {2015}
}
Comments
In Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, 2014