Parameter bounds for root clustering of uncertain matrices

Abstract

Abstract This paper deals with robust root-clustering in a region of order one or two of the complex plane. We consider continuous or discrete linear state-space models with unstructured and structured perturbations. Some bounds on allowable perturbations that maintain the eigenvalues of a system matrix in a desired region are derived. These bounds are shown to be less conservative than existing ones. Additional informationNotes on contributorsI. CHOUAIB Tel: +(33) 61.33.64.50; Fax: +(33) 61.33.64.55; e-mail: pradin@laas.fr. B. PRADIN Tel: +(33) 61.33.64.50; Fax: +(33) 61.33.64.55; e-mail: pradin@laas.fr.