Necessary and sufficient conditions for the minimal state-space realisation of nonlinear systems from input-output information

D.J. Leith; W.E. Leithead

doi:10.1109/ACC.2003.1243771

Necessary and sufficient conditions for the minimal state-space realisation of nonlinear systems from input-output information

D.J. Leith, W.E. Leithead

Electronic And Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

Abstract

In this note we present an easily verified condition for determining a minimal state space realisation of a class of nonlinear systems using transfer function (input-output) formation only. This result has important implications for systems theory. Examples are given to demonstrate the power of this result.

Original language	English
Title of host publication	Proceedings of the 2003 American Control Conference
Publisher	IEEE
Pages	2937-2942
Number of pages	6
ISBN (Print)	0-7803-7896-2
DOIs	https://doi.org/10.1109/ACC.2003.1243771
Publication status	Published - 2003

Keywords

nonlinear control systems
transfer functions
state-space methods
realisation theory

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10.1109/ACC.2003.1243771

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title = "Necessary and sufficient conditions for the minimal state-space realisation of nonlinear systems from input-output information",

abstract = "In this note we present an easily verified condition for determining a minimal state space realisation of a class of nonlinear systems using transfer function (input-output) formation only. This result has important implications for systems theory. Examples are given to demonstrate the power of this result.",

keywords = "nonlinear control systems, transfer functions , state-space methods , realisation theory ",

author = "D.J. Leith and W.E. Leithead",

year = "2003",

doi = "10.1109/ACC.2003.1243771",

language = "English",

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T1 - Necessary and sufficient conditions for the minimal state-space realisation of nonlinear systems from input-output information

AU - Leith, D.J.

AU - Leithead, W.E.

PY - 2003

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N2 - In this note we present an easily verified condition for determining a minimal state space realisation of a class of nonlinear systems using transfer function (input-output) formation only. This result has important implications for systems theory. Examples are given to demonstrate the power of this result.

AB - In this note we present an easily verified condition for determining a minimal state space realisation of a class of nonlinear systems using transfer function (input-output) formation only. This result has important implications for systems theory. Examples are given to demonstrate the power of this result.

KW - nonlinear control systems

KW - transfer functions

KW - state-space methods

KW - realisation theory

U2 - 10.1109/ACC.2003.1243771

DO - 10.1109/ACC.2003.1243771

M3 - Conference contribution book

SN - 0-7803-7896-2

SP - 2937

EP - 2942

BT - Proceedings of the 2003 American Control Conference

PB - IEEE

ER -

Necessary and sufficient conditions for the minimal state-space realisation of nonlinear systems from input-output information

Abstract

Keywords

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