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Nerode equivalence for continuous-time transfer function matrices

Liu, Jing and French, Mark (2014) Nerode equivalence for continuous-time transfer function matrices Systems & Control Letters, pp. 1-20.

Record type: Article


In this paper we show that a state space realisation in Jordan canonical form for linear multivariable continuous-time systems described by rational transfer function matrices could be obtained in a natural and basic way by using the concept of Nerode equivalence. Both scalar and multivariable cases in the continuous-time setting are discussed. The basic idea of Nerode equivalence is that the state can be identified with a corresponding equivalence class of input. For a linear finite dimensional time-invariant continuous-time system, the zero state is identified with the kernel of certain Hankel operator. This characterisation then led us naturally to the state equations.

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Submitted date: 2014
Keywords: nerode equivalence, minimal state space realisation, jordan canonical form, gilbert's diagonal form, interpolation by rational functions, hankel operators
Organisations: Southampton Wireless Group


Local EPrints ID: 367026
ISSN: 0167-6911
PURE UUID: e1c5b355-d2fb-489b-bd45-b7e3796e27e1

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Date deposited: 22 Jul 2014 08:39
Last modified: 18 Jul 2017 02:05

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Author: Jing Liu
Author: Mark French

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