Brief paper: Simultaneous Schur stability of interval matrices

Authors:
Mau-Hsiang Shih;Chin-Tzong Pang
Affiliations:
Department of Mathematics, National Taiwan Normal University, 88 Sec. 4, Ting Chou Road, Taipei, Taiwan;Department of Information Management, Yuan Ze University, 135 Yuan-Tung Road, Taoyuan, Taiwan
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

Interval matrix structures are ubiquitous in nature and engineering. Ordinarily, in an uncertain system there is associated with a set of coupled interval matrices, a basic issue of exploring its asymptotic stability. Here we introduce the notion of simultaneous Schur stability by linking the concepts of the majorant and the joint spectral radius, and prove the asymptotic stability of a set of interval matrices governed by simultaneous Schur stability. The present result may lead to the stability analysis of discrete dynamical interval systems.