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arXiv · 1508.06316

Positive Systems Analysis Via Integral Linear Constraints

Sei Zhen Khong·Corentin Briat·Anders Rantzer
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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.

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Sei Zhen Khong, Corentin Briat, Anders Rantzer. 2015-08-25. Positive Systems Analysis Via Integral Linear Constraints. https://arxiv.org/abs/1508.06316

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