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Article Dans Une Revue International Journal of Control Année : 2001

D-Stability of Polynomial Matrices

Résumé

Necessary and sufficient 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 quadratic and semidefinite programming, LFRs and rank-one LMIs. They are expressed as an LMI feasibility problem that can be tackled with widespread powerful interior-point methods. Most importantly, the D-stability conditions can be combined with other LMI conditions arising in robust stability analysis.
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Dates et versions

hal-03360917 , version 1 (01-10-2021)

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Didier Henrion, Olivier Bachelier, Mickael Sebek. D-Stability of Polynomial Matrices. International Journal of Control, 2001, 74 (8), pp.845--856. ⟨10.1080/00207170110041006⟩. ⟨hal-03360917⟩
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