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arXiv · 1509.05792

Linearized stability analysis of nonlinear partial differential equations

Rasha Al Jamal·Amenda Chow·Kirsten Morris
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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.

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Rasha Al Jamal, Amenda Chow, Kirsten Morris. 2015-09-18. Linearized stability analysis of nonlinear partial differential equations. https://arxiv.org/abs/1509.05792

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