Paper Info
Title
Analysis of Systems With Slope Restricted Nonlinearities Using Externally Positive Zames–Falb Multipliers
Abstract
This paper proposes an approach for assessing the stability of feedback interconnections where one element is a static slope-restricted nonlinearity and the other element is a linear system. The approach is based on the use of Zames–Falb multipliers where the dynamic portion of the multiplier is chosen as an <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">externally positive</italic> noncausal transfer function. By restricting attention to a subset of these multipliers, a set of pure linear matrix inequality conditions is obtained which requires no initial parameterization by the user. A useful byproduct of using externally positive systems is that the results are applicable to nonodd slope restricted nonlinearities, which is not the case for all classes of Zames–Falb multipliers.
Year
DOI
Venue
2020
10.1109/TAC.2019.2930796
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Transfer functions,Stability criteria,Asymptotic stability,Symmetric matrices,Frequency-domain analysis,Time-domain analysis
Journal
65
Issue
ISSN
Citations 
4
0018-9286
2
PageRank 
References 
Authors
0.37
9
2
Name
Order
Citations
PageRank
Matthew C. Turner1128.75
Ross Drummond2175.68