Input-Output-to-State Stability
Optimization and Control
2007-05-23 v1
Abstract
This work explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard zero-detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the input-output-to-state stability property and the existence of a certain type of smooth Lyapunov function. As corollaries, one shows the existence of ``norm-estimators'', and obtains characterizations of nonlinear detectability in terms of relative stability and of finite-energy estimates.
Keywords
Cite
@article{arxiv.math/9911233,
title = {Input-Output-to-State Stability},
author = {Mikhail Krichman and Eduardo D. Sontag and Yuan Wang},
journal= {arXiv preprint arXiv:math/9911233},
year = {2007}
}
Comments
Many related papers can be found in: http://www.math.rutgers.edu/~sontag