The structured controllability radius of linear delay systems

In this article, we shall deal with the problem of calculation of the controllability radius of a delay dynamical systems of the form x 0 (t)¼A0x(t)þA1x(t�h1)þ� � �þAkx(t�hk)þBu(t). By using multi-valued linear operators, we are able to derive computable formulas for the controllability radius of a controllable delay system in the case where the system’s coefficient matrices are subjected to structured perturbations. Some examples are provided to illustrate the obtained results

Title: 

The structured controllability radius of linear delay systems
Authors: Do, Duc Thuan
Keywords: Linear delay systems
Multi-valued linear operators
Structured perturbations
Controllability radius
Issue Date: 2013
Publisher: TAYLOR & FRANCIS LTD, 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAN
Citation: ISIKNOWLEDGE
Abstract: In this article, we shall deal with the problem of calculation of the controllability radius of a delay dynamical systems of the form x 0 (t)¼A0x(t)þA1x(t�h1)þ� � �þAkx(t�hk)þBu(t). By using multi-valued linear operators, we are able to derive computable formulas for the controllability radius of a controllable delay system in the case where the system’s coefficient matrices are subjected to structured perturbations. Some examples are provided to illustrate the obtained results
Description: INTERNATIONAL JOURNAL OF CONTROL Volume: 86 Issue: 3 Pages: 512-518 Published: MAR 1 2013 ; TNS07317
URI: http://www.tandfonline.com/doi/abs/10.1080/00207179.2012.746473
http://repository.vnu.edu.vn/handle/VNU_123/32832
ISSN: 0020-7179
Appears in Collections:Bài báo của ĐHQGHN trong Web of Science

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