Incremental Stability Analysis of Lurie Systems

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Abstract

The incremental stability analysis of Lurie systems consisting of the feedback interconnection between a linear time-invariant (LTI) system and a slope-bounded nonlinearity is considered. We first show that the incremental input-output mappings generated by the set of slope-bounded nonlinearities satisfy a set of biased integral quadratic constraints (IQCs) defined by Popov multipliers. Then, a frequency-domain inequality (FDI) condition on the LTI system is proposed for establishing incremental closed-loop stability via an incremental form of IQC theory. Application of the KYP lemma yields an equivalent linear matrix inequality (LMI) condition.

Original languageEnglish
Title of host publication2024 European Control Conference, ECC 2024
PublisherIEEE
Pages3015-3020
Number of pages6
ISBN (Electronic)9783907144107
DOIs
Publication statusPublished - 2024
Event2024 European Control Conference, ECC 2024 - Stockholm, Sweden
Duration: 25 Jun 202428 Jun 2024

Publication series

Name2024 European Control Conference, ECC 2024

Conference

Conference2024 European Control Conference, ECC 2024
Country/TerritorySweden
CityStockholm
Period25/06/2428/06/24

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