Stabilization of linear systems with distributed input delay using reduction transformation

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We propose a new stabilization method for linear systems with distributed input delay via reduction transformation and Riccati equation approach. In the presented stabilization scheme, the gain matrix of controller is constructed by the well-known linear control technique for delay-free systems. The transformation kernel matrix can be determined by solving the non-symmetric matrix Riccati equation backward with the boundary condition. When point delay systems are considered, it will be shown that the proposed control law degenerates to the standard one for input delay systems.

Original languageEnglish
Pages (from-to)1413-1416
Number of pages4
JournalChinese Science Bulletin
Volume56
Issue number13
DOIs
Publication statusPublished - 2011 May 1
Externally publishedYes

Fingerprint

Linear systems
Riccati equations
Stabilization
Boundary conditions
Controllers

Keywords

  • delay systems
  • delay-free systems
  • distributed delay
  • reduction transformation
  • riccati equation

ASJC Scopus subject areas

  • General

Cite this

Stabilization of linear systems with distributed input delay using reduction transformation. / Ahn, Choon Ki.

In: Chinese Science Bulletin, Vol. 56, No. 13, 01.05.2011, p. 1413-1416.

Research output: Contribution to journalArticle

@article{a954b9fa057d40eeb6faffaca69c3d63,
title = "Stabilization of linear systems with distributed input delay using reduction transformation",
abstract = "We propose a new stabilization method for linear systems with distributed input delay via reduction transformation and Riccati equation approach. In the presented stabilization scheme, the gain matrix of controller is constructed by the well-known linear control technique for delay-free systems. The transformation kernel matrix can be determined by solving the non-symmetric matrix Riccati equation backward with the boundary condition. When point delay systems are considered, it will be shown that the proposed control law degenerates to the standard one for input delay systems.",
keywords = "delay systems, delay-free systems, distributed delay, reduction transformation, riccati equation",
author = "Ahn, {Choon Ki}",
year = "2011",
month = "5",
day = "1",
doi = "10.1007/s11434-010-4152-x",
language = "English",
volume = "56",
pages = "1413--1416",
journal = "Science Bulletin",
issn = "2095-9273",
publisher = "Springer Science + Business Media",
number = "13",

}

TY - JOUR

T1 - Stabilization of linear systems with distributed input delay using reduction transformation

AU - Ahn, Choon Ki

PY - 2011/5/1

Y1 - 2011/5/1

N2 - We propose a new stabilization method for linear systems with distributed input delay via reduction transformation and Riccati equation approach. In the presented stabilization scheme, the gain matrix of controller is constructed by the well-known linear control technique for delay-free systems. The transformation kernel matrix can be determined by solving the non-symmetric matrix Riccati equation backward with the boundary condition. When point delay systems are considered, it will be shown that the proposed control law degenerates to the standard one for input delay systems.

AB - We propose a new stabilization method for linear systems with distributed input delay via reduction transformation and Riccati equation approach. In the presented stabilization scheme, the gain matrix of controller is constructed by the well-known linear control technique for delay-free systems. The transformation kernel matrix can be determined by solving the non-symmetric matrix Riccati equation backward with the boundary condition. When point delay systems are considered, it will be shown that the proposed control law degenerates to the standard one for input delay systems.

KW - delay systems

KW - delay-free systems

KW - distributed delay

KW - reduction transformation

KW - riccati equation

UR - http://www.scopus.com/inward/record.url?scp=79955164081&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79955164081&partnerID=8YFLogxK

U2 - 10.1007/s11434-010-4152-x

DO - 10.1007/s11434-010-4152-x

M3 - Article

AN - SCOPUS:79955164081

VL - 56

SP - 1413

EP - 1416

JO - Science Bulletin

JF - Science Bulletin

SN - 2095-9273

IS - 13

ER -