test_moissonnage_selune
type: Agent

Approximation and applications of distributed delay
type: Dataset
contact point: Organization
  fn: CCSD
keyword: infoeu-reposemanticsdoctoralthesis
keyword: time-delay-system
keyword: systeme-de-temporisation
keyword: automatics
keyword: systeme-lineaire
keyword: stable-inversion
keyword: linear-system
keyword: inversion-stable
keyword: automatique
keyword: approximation
keyword: retard-distribue
keyword: distributed-delay
keyword: theses
keyword: spiotherengineering-sciences-physicsother
landing page: https://theses.hal.science/tel-00961273
description: A distributed delay is a linear input-output operators and appears in many control problems. We investigate distributed delay and its applications. After introducing the definition and the main properties of the distributed delay, the numerical implementation problem of distributed delays is analyzed and a general method for its approximation is given. Then three applications are focused on where distributed delay appears. The first application is the stable inversion and model matching. A new class of stable inversion and model matching problem for finite dimensional linear time-invariant systems is defined. The stable inversion (resp. model matching) is an approximation of the inverse of a given model (resp. model matching), where exact inversion (resp. exact matching) is reached after a time t=h, which is a parameter of our procedure. The second application is concerned with stabilization and finite spectrum assignment for a class of infinite dimensional systems. The last application concerns observer synthesis for estimation or output control. For linear finite dimensional systems. A closed-loop memoryless observer by input injection is introduced. Asymptotic convergence as well as finite time convergence of the estimation are analyzed by output injection and input information via distributed delay. At last, we introduce a new class for approximation of distributed parameter systems. We work on the graph topology, and show that under some weak assumptions, such an approximation can be realized using distributed delay.
identifier: NNT: 2013ISAL0100
issued: 2026-05-05T23:47:39.723268
language: en
modified: 2026-05-05T23:47:39.723272

Approximation and applications of distributed delay
type: Distribution
access URL: https://theses.hal.science/tel-00961273
format: HTML
issued: 2026-05-05T23:47:39.759172
modified: 2026-05-05T23:47:39.694976