<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The 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.</p></abstract>

The 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.

Robust stability of positive continuous-time linear systems with delays

Faculty of Electrical Engineering, Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, Poland

International Journal of Applied Mathematics and Computer Science

{"article-title":"Robust stability of positive continuous-time linear systems with delays"}

The paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices....

Robust stability of positive continuous-time linear systems with delays

Published Online: Dec 20, 2010

Page range: 665 - 670

DOI: https://doi.org/10.2478/v10006-010-0049-8

Keywords
positive continuous-time linear system, delays, robust stability, linear uncertainty, interval system

This content is open access.

Robust stability of positive continuous-time linear systems with delays

Published Online: Dec 20, 2010

Page range: 665 - 670

DOI: https://doi.org/10.2478/v10006-010-0049-8

Keywordspositive continuous-time linear system, delays, robust stability, linear uncertainty, interval system

This content is open access.

Keywords
positive continuous-time linear system, delays, robust stability, linear uncertainty, interval system