Robust stability of positive continuous-time linear systems with delays

Authors:
MikołAj BusłOwicz
Affiliations:
Faculty of Electrical Engineering, Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, Poland
Venue:
International Journal of Applied Mathematics and Computer Science
Year:
2010

Citing 3
Cited 0

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Stability of Time-Delay Systems

Stability of Time-Delay Systems
Technical Communique: Delay-dependent criteria for robust stability of time-varying delay systems

Automatica (Journal of IFAC)

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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.