Robust stability analysis for linear systems with distributed delays: A time‐domain approach

Summary This work is devoted to the robust stability analysis of linear systems with distributed delays. The approach is based on recent results in the Lyapunov‐Krasovskii framework, where a Lyapunov‐Krasovskii functional with prescribed negative definite derivative is applied. The stability conditi...

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Bibliographic Details
Published inInternational journal of robust and nonlinear control Vol. 30; no. 18; pp. 8299 - 8312
Main Authors Juárez, Luis, Alexandrova, Irina V., Mondié, Sabine
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 01.12.2020
Subjects
delay systems
Linear systems
Lyapunov‐Krasovskii functionals
Parameter uncertainty
robust stability
Robustness
Stability analysis
Systems analysis
uncertain parameters
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Summary:Summary This work is devoted to the robust stability analysis of linear systems with distributed delays. The approach is based on recent results in the Lyapunov‐Krasovskii framework, where a Lyapunov‐Krasovskii functional with prescribed negative definite derivative is applied. The stability conditions obtained in this work, are simple inequalities which depend on the so‐called delay Lyapunov matrix. The cases of matrix parameters and delays uncertainties are addressed, accurately detecting exact stability bounds when applied in an iterative manner. Our method is used successfully to tackle the challenging problem of robust predictor‐based stabilization of systems with state and input delays.
Bibliography:Funding information
Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, 155; Consejo Nacional de Ciencia y Tecnología, A1‐S‐24796; Russian Science Foundation, 19‐71‐00061
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.5244