Necessary and sufficient conditions for robust stability independent of delays and coefficient perturbations

Author(s):  
A.W. Olbrot ◽  
C.U.T. Igwe
Author(s):  
Mikołaj Busłowicz

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.


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