Robust Stability under a Class of Nonlinear Parametric Perturbations

Minyue Fu; Soura Dasgupta; Vincent Blondel

doi:10.23919/ACC.1990.4791184

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Conference proceeding

Robust Stability under a Class of Nonlinear Parametric Perturbations

Minyue Fu, Soura Dasgupta and Vincent Blondel

1990 American Control Conference, pp.2542-2547

05/1990

DOI: 10.23919/ACC.1990.4791184

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Abstract

This paper considers the Hurwitz invariance of LTI systems under a class of nonlinear parametric perturbations. The setting is one of determining the closed loop stability of systems whose open loop transfer functions consist of powers, products and ratios of polytopes of polynomials. We give several results on the construction of value sets and Hurwitz invariance checking, for this general setting and important special cases.

Closed loop systems

Poles and zeros

Polynomials

Robust stability

Terminology

Transfer functions

Vectors

Details

Title: Subtitle: Robust Stability under a Class of Nonlinear Parametric Perturbations
Creators: Minyue Fu - UCLouvain
Soura Dasgupta - University of Iowa
Vincent Blondel - UCLouvain
Resource Type: Conference proceeding
Publication Details: 1990 American Control Conference, pp.2542-2547
Publisher: IEEE
DOI: 10.23919/ACC.1990.4791184
ISSN: 0743-1619
eISSN: 2378-5861
Language: English
Date published: 05/1990
Academic Unit: Electrical and Computer Engineering
Record Identifier: 9984197357602771

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