Name
Title | ||
|---|---|---|
Analysis of MIMO Lurie systems with slope restricted nonlinearities using concepts of external positivity |
Abstract | ||
|---|---|---|
This paper revisits the stability analysis problem for feedback interconnections comprising a multivariable linear-time-invariant system and a static slope-restricted nonlinear element. The analysis is based on Zames-Falb multipliers but incorporates aspects of external positivity theory to improve the computational efficiency of the multiplier search. An appealing aspect of the work is that few user choices are required to define the stability conditions, making the algorithm straightforward to use. Some numerical examples taken from the literature illustrate the effectiveness of the approach and its competitiveness with the state-of-the-art. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/CDC40024.2019.9029671 | 2019 IEEE 58th Conference on Decision and Control (CDC) |
Keywords | DocType | ISSN |
MIMO Lurie systems,slope restricted nonlinearities,stability analysis problem,feedback interconnections,multivariable linear-time-invariant system,static slope-restricted nonlinear element,Zames-Falb multipliers,external positivity theory,computational efficiency,stability conditions | Conference | 0743-1546 |
ISBN | Citations | PageRank |
978-1-7281-1399-9 | 0 | 0.34 |
References | Authors | |
13 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Matthew C. Turner | 1 | 12 | 8.75 |
| Ross Drummond | 2 | 17 | 5.68 |