A looped-functional approach for robust stability analysis of linear impulsive systems
Optimization and Control
2012-07-10 v1 Systems and Control
Classical Analysis and ODEs
Dynamical Systems
Abstract
A new functional-based approach is developed for the stability analysis of linear impulsive systems. The new method, which introduces looped-functionals, considers non-monotonic Lyapunov functions and leads to LMIs conditions devoid of exponential terms. This allows one to easily formulate dwell-times results, for both certain and uncertain systems. It is also shown that this approach may be applied to a wider class of impulsive systems than existing methods. Some examples, notably on sampled-data systems, illustrate the efficiency of the approach.
Cite
@article{arxiv.1207.1893,
title = {A looped-functional approach for robust stability analysis of linear impulsive systems},
author = {Corentin Briat and Alexandre Seuret},
journal= {arXiv preprint arXiv:1207.1893},
year = {2012}
}
Comments
13 pages, 2 figures, Accepted at Systems & Control Letters