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...
Saved in:
Published in | International journal of robust and nonlinear control Vol. 30; no. 18; pp. 8299 - 8312 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Bognor Regis
Wiley Subscription Services, Inc
01.12.2020
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
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 |