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An S-regularity approach to the robust analysis of descriptor models

An S-regularity approach to the robust analysis of descriptor models,10.1109/CDC.2008.4738859,Bilal Sari,Olivier Bachelier,Driss Mehdi

An S-regularity approach to the robust analysis of descriptor models  
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This paper exploits the notion of S-regularity of a matrix pencil to propose insights for the robustness analysis of descriptor models of the form Ex = Ax (or Exk+1 = Axk for the discrete case) subject to norm-bounded LFT (Linear Fractional Transform)-based uncertainties on both matrices A and E. The property to be studied is the robust D-admissibility (robust D-stability together with robust regularity and robust impulse freeness). All the proposed conditions are expressed in terms of strict LMI (Linear Matrix Inequalities). Two techniques are proposed and numerically compared.
Conference: Conference on Decision and Control - CDC , pp. 4813-4818, 2008
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