Lyapunov Characterizations of Input to Output Stability
Optimization and Control
2007-05-23 v1 Dynamical Systems
Abstract
This paper presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key role in the analysis of the input to state stability property, and the results given here extend their validity to the case when the output, but not necessarily the entire internal state, is being regulated. The work is related to partial stability of differential equations (the particular case which arises when there are no external inputs).
Keywords
Cite
@article{arxiv.math/9902024,
title = {Lyapunov Characterizations of Input to Output Stability},
author = {Eduardo D. Sontag and Y. Wang},
journal= {arXiv preprint arXiv:math/9902024},
year = {2007}
}
Comments
24 pages See http://www.math.rutgers.edu/~sontag/ for many related papers