A criterion of simultaneously symmetrization and spectral finiteness for a finite set of real 2-by-2 matrices

2011/11/09 by Xiongping Dai, Dai, Xiongping
Computer Science · Engineering · Mathematics · #15B52 #37N30 #37N35 #65F15 #93D20 #Advanced Topics in Algebra #FOS: Electrical engineering #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #graph theory and CDMA systems #information engineering

paper · pdf · doi:10.48550/arxiv.1111.2108

openalex publication_date 2011/11/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider the simultaneously symmetrization and spectral finiteness for a finite set of real 2-by-2 matrices.

Citations

• The finite-step realizability of the joint spectral radius of a pair of d× d matrices one of which being rank-one
• Stability Criteria for Switched and Hybrid Systems

Related

• Some criteria for spectral finiteness of a finite subset of the real matrix space ℝ^{d× d}
• Rank one matrices do not contribute to the failure of the finiteness property
• Criteria for the stability of the finiteness property and for the uniqueness of Barabanov norms
• On the Finiteness Property for Rational Matrices
• On symmetries of a matrix and its isospectral reduction