Relations of Controllability and Observability between Continuous-Time Linear System and Its Projective System

Liu, Yuna; Li, Haitao

doi:10.23919/ccc52363.2021.9549855

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2023

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Cited by 3 publications

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“…Zhang et al [20] investigated the solution and stability of continuous-time cross-dimensional linear systems. For other new published research on dimension-varying systems, please refer to [21,22].…”

Section: Introductionmentioning

confidence: 99%

Equivalence‐based controllability of dimension‐varying systems on quotient space

Fan

Zhang

2023

Asian Journal of Control

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The quotient space approach is considered as an effective and pioneering tool to model the transient dynamics of dimension‐varying systems recently. In this paper, we focus on the controllability of dimension‐varying systems that are modeled by the quotient space approach. First, we investigate the relation of controllability matrix between so‐called equivalent lifting systems. The result of the investigation prompts us to propose a new concept called equivalent class controllability for dimension‐varying systems on quotient space. Moreover, the coordinate transformation of states on quotient space is studied. Based on it, the controllable normal form of dimension‐varying systems on quotient space, which follows the criterion for the equivalent class controllability, is presented.

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Section: Introductionmentioning

confidence: 99%