scholarly journals Necessary and sufficient conditions for robust stability using modal intervals

2003 ◽  
Author(s):  
J. Vehi ◽  
M.A. Sainz
Keyword(s):  
Robust Stability ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Necessary And Sufficient

scholarly journals Robust stability of positive continuous-time linear systems with delays

2010 ◽  
Vol 20 (4) ◽  
pp. 665-670 ◽  
Author(s):  
Mikołaj Busłowicz
Keyword(s):  
Linear Systems ◽  
Robust Stability ◽  
Continuous Time ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Numerical Examples ◽  
Structured Perturbations ◽  
Uncertainty Structure ◽  
Necessary And Sufficient ◽  
Time Linear

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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