Olivier Bachelier

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—This note comes back to the hard problem of pole placement by static output feedback: let a triplet of matrices ; ; be given with state variables, inputs and ouputs, find a matrix such that the spectrum of + equals a specified set. When + , a simple noniterative technique based upon the notion of eigenstructure that, in most cases, assigns + roots is(More)
— This paper considers robust stability analysis for a matrix affected by LFT-based complex uncertainty (LFT for linear fractional transformation). A method is proposed to compute a bound on the amount of uncertainty ensuring robust root-clustering in a combination (intersection and/or union) of several possibly nonsymmetric half planes, discs, and(More)
This paper deals with the problems of robust admissibility and state feedback admissibilization of uncertain discrete descriptor systems. We propose a new sufficient condition, which is necessary in terms of a strict linear matrix inequality (LMI) for a nominal discrete descriptor system to be admissible (stable, regular and impulse free). Based on this,(More)