On the output-input stability property for multivariable nonlinear control systems
Optimization and Control
2007-05-23 v1
Abstract
We study the recently introduced notion of output-input stability, which is a robust variant of the minimum-phase property for general smooth nonlinear control systems. The subject of this paper is developing the theory of output-input stability in the multi-input, multi-output setting. We show that output-input stability can be viewed as a combination of two system properties, one related to detectability and the other to left-invertibility. For systems affine in controls, we provide a necessary and sufficient condition for output-input stability, which relies on Hirschorn's nonlinear structure algorithm.
Cite
@article{arxiv.math/0205205,
title = {On the output-input stability property for multivariable nonlinear control systems},
author = {Daniel Liberzon},
journal= {arXiv preprint arXiv:math/0205205},
year = {2007}
}