Robust stability of positive continuous-time linear systems with delays-Reference-Cited by-同舟云学术

Robust stability of positive continuous-time linear systems with delays

Published:2010-12-01 Issue:4 Volume:20 Page:665-670
ISSN:1641-876X
Container-title:International Journal of Applied Mathematics and Computer Science
language:
Short-container-title:

Author:

Busłowicz Mikołaj

Abstract

Robust stability of positive continuous-time linear systems with delaysThe paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices. Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure and (ii) nonnegative perturbation matrices are established. The problems are illustrated with numerical examples.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.degruyter.com/view/j/amcs.2010.20.issue-4/v10006-010-0049-8/v10006-010-0049-8.pdf

Reference14 articles.

1. Simple stability conditions for linear positive discrete-time systems with delays;M. Busłowicz;Bulletin of the Polish Academy of Sciences: Technical Sciences,2008a

2. Simple conditions for robust stability of linear positive discrete-time systems with one delay;M. Busłowicz;Journal of Automation, Mobile Robotics and Intelligent Systems,2008b

3. Positive Linear Systems

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