Positive Systems Analysis Via Integral Linear Constraints
Optimization and Control
2015-08-27 v1 Systems and Control
Abstract
Closed-loop positivity of feedback interconnections of positive monotone nonlinear systems is investigated. It is shown that an instantaneous gain condition on the open-loop systems which implies feedback well-posedness also guarantees feedback positivity. Furthermore, the notion of integral linear constraints (ILC) is utilised as a tool to characterise uncertainty in positive feedback systems. Robustness analysis of positive linear time-varying and nonlinear feedback systems is studied using ILC, paralleling the well-known results based on integral quadratic constraints.
Cite
@article{arxiv.1508.06316,
title = {Positive Systems Analysis Via Integral Linear Constraints},
author = {Sei Zhen Khong and Corentin Briat and Anders Rantzer},
journal= {arXiv preprint arXiv:1508.06316},
year = {2015}
}
Comments
5 pages, 1 figure