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Stability Analysis with Popov Multipliers and Integral Quadratic Constraints

Jönsson, Ulf (1997) In Systems and Control Letters 31(2). p.85-92
Abstract
It is shown that a general form of Popov multipliers can be used in stability analysis based on integral quadratic constraints (IQC). The Popov multiplier is nonproper and a condition that the nominal plant is strictly proper will be imposed in order to ensure boundedness of the IQC corresponding to the Popov multiplier. A consequence of our main result is that the classical Popov criterion can be combined with a stability criterion for slope restricted nonlinearities developed by Zames and Falb. An example shows that the combination of these two criteria is useful in applications.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Systems and Control Letters
volume
31
issue
2
pages
85 - 92
publisher
Elsevier
external identifiers
  • scopus:0031186459
ISSN
0167-6911
DOI
10.1016/S0167-6911(97)00018-2
language
English
LU publication?
no
id
6197a44c-51d5-4fcc-a430-ce8949bfbe5a (old id 8311502)
date added to LUP
2016-04-04 14:28:18
date last changed
2022-02-06 19:24:12
@article{6197a44c-51d5-4fcc-a430-ce8949bfbe5a,
  abstract     = {{It is shown that a general form of Popov multipliers can be used in stability analysis based on integral quadratic constraints (IQC). The Popov multiplier is nonproper and a condition that the nominal plant is strictly proper will be imposed in order to ensure boundedness of the IQC corresponding to the Popov multiplier. A consequence of our main result is that the classical Popov criterion can be combined with a stability criterion for slope restricted nonlinearities developed by Zames and Falb. An example shows that the combination of these two criteria is useful in applications.}},
  author       = {{Jönsson, Ulf}},
  issn         = {{0167-6911}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{85--92}},
  publisher    = {{Elsevier}},
  series       = {{Systems and Control Letters}},
  title        = {{Stability Analysis with Popov Multipliers and Integral Quadratic Constraints}},
  url          = {{http://dx.doi.org/10.1016/S0167-6911(97)00018-2}},
  doi          = {{10.1016/S0167-6911(97)00018-2}},
  volume       = {{31}},
  year         = {{1997}},
}