Vector Spaces of Linearizations for Multivariable State-Space Systems

2024/05/23 by Avisek Bist, Bist, Avisek, Namita Behera +1
Computer Science · #15A18 #15A22 #15A57 #15B57 #65F15 #65F35 #FOS: Mathematics #Mathematical Control Systems and Analysis #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2405.15819

openalex publication_date 2024/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Consider a multivariable state space system and associated transfer function G(λ). The aim of this paper is to define and analyze two vector spaces of matrix pencils associated with the matrix G(λ) and show that almost all of these pencils are linearizations of G(λ). We also construct symmetric/Hermitian linearizations of G(λ) when G(λ) is regular and symmetric/Hermitian.

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