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.
Original language | English (US) |
---|---|
Title of host publication | 54rd IEEE Conference on Decision and Control,CDC 2015 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 6373-6378 |
Number of pages | 6 |
ISBN (Electronic) | 9781479978861 |
DOIs | |
State | Published - Feb 8 2015 |
Externally published | Yes |
Event | 54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: Dec 15 2015 → Dec 18 2015 |
Publication series
Name | Proceedings of the IEEE Conference on Decision and Control |
---|---|
Volume | 54rd IEEE Conference on Decision and Control,CDC 2015 |
ISSN (Print) | 0743-1546 |
ISSN (Electronic) | 2576-2370 |
Other
Other | 54th IEEE Conference on Decision and Control, CDC 2015 |
---|---|
Country/Territory | Japan |
City | Osaka |
Period | 12/15/15 → 12/18/15 |
Bibliographical note
Publisher Copyright:© 2015 IEEE.
Keywords
- closed-loop positivity
- integral linear constraints
- positive systems
- robust stability