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Necessary and suucient conditions are formulated for the zeros of an arbitrary polynomial matrix to belong to a given region D of the complex plane. The conditions stem from a general optimization methodology mixing LFRs, rank-one LMIs and the S-procedure. They are expressed as an LMI feasibility problem that can be tackled with widespread powerful… (More)

- Driss Mehdi, El Kebir Boukas, Olivier Bachelier
- IMA J. Math. Control & Information
- 2004

- Olivier Bachelier, Didier Henrion, Bernard Pradin, Driss Mehdi
- SIAM J. Control and Optimization
- 2004

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 exteriors… (More)

- Olivier Bachelier, Driss Mehdi
- SIAM J. Control and Optimization
- 2006

- Bilal Sari, Olivier Bachelier, Jérôme Bosche, Nezha Maamri, Driss Mehdi
- Mathematics and Computers in Simulation
- 2011

- Nezha Maamri, Olivier Bachelier, Driss Mehdi
- Mathematics and Computers in Simulation
- 2006

Necessary and suucient conditions are formulated for checking stability of a 2-D polynomial matrix. The conditions stem from a general optimization methodology mixing LFRs, LMIs and the S-procedure. They are expressed as a tractable linear programming problem over the cone of positive semideenite matrices.

- Olivier Bachelier, Jérôme Bosche, Driss Mehdi
- IEEE Trans. Automat. Contr.
- 2006

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)

- Pawel Grzegorz Dabkowski, Krzysztof Galkowski, Olivier Bachelier, Eric Rogers, Anton Kummert, James Lam
- Numerical Lin. Alg. with Applic.
- 2013

Repetitive processes are a distinct class of 2D systems of both theoretical and practical interest. The stability theory for these processes currently consists of two distinct concepts termed asymptotic stability and stability along the pass respectively where the former is a necessary condition for the latter. Recently applications have arisen where… (More)

- Ouiem REJICHI, Olivier Bachelier, M. Chaabane, D. Mehdi
- 2008 16th Mediterranean Conference on Control and…
- 2008

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)