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Positive systems analysis via integral linear constraints

Författare

Summary, in English

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.

Publiceringsår

2016-02-08

Språk

Engelska

Sidor

6373-6378

Publikation/Tidskrift/Serie

Proceedings of the IEEE Conference on Decision and Control

Volym

2016-February

Dokumenttyp

Konferensbidrag

Förlag

IEEE - Institute of Electrical and Electronics Engineers Inc.

Ämne

  • Control Engineering

Nyckelord

  • closed-loop positivity
  • integral linear constraints
  • positive systems
  • robust stability

Conference name

54th IEEE Conference on Decision and Control, CDC 2015

Conference date

2015-12-15 - 2015-12-18

Conference place

Osaka, Japan

Status

Published

ISBN/ISSN/Övrigt

  • ISBN: 9781479978861