Vector Spaces of Linearizations for Multivariable State-Space Systems

Avisek Bist; Namita Behera

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arXiv · 2405.15819

Vector Spaces of Linearizations for Multivariable State-Space Systems

Avisek Bist·Namita Behera

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Abstract

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

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Avisek Bist, Namita Behera. 2024-05-23. Vector Spaces of Linearizations for Multivariable State-Space Systems. https://arxiv.org/abs/2405.15819

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