A polynomial approach to nonlinear system controllability

YF Zheng; JC Willems; CH Zhang

A polynomial approach to nonlinear system controllability

YF Zheng^*, JC Willems, CH Zhang

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

47 Citations (Scopus)

Abstract

This note uses a polynomial approach to present a necessary and sufficient condition for local controllability of single-input-single-output (SISO) nonlinear systems. The condition is presented in terms of common factors of a noncommutative polynomial expression. This result exposes controllability properties of a nonlinear system in the input-output framework, and gives a computable procedure for examining nonlinear system controllability using computer algebra.

Original language	English
Pages (from-to)	1782-1788
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	46
Issue number	11
Publication status	Published - Nov-2001

Keywords

common factor
controllability
differential fields
non-commutative ring
nonlinear systems

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Cite this

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title = "A polynomial approach to nonlinear system controllability",

abstract = "This note uses a polynomial approach to present a necessary and sufficient condition for local controllability of single-input-single-output (SISO) nonlinear systems. The condition is presented in terms of common factors of a noncommutative polynomial expression. This result exposes controllability properties of a nonlinear system in the input-output framework, and gives a computable procedure for examining nonlinear system controllability using computer algebra.",

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author = "YF Zheng and JC Willems and CH Zhang",

year = "2001",

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language = "English",

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T1 - A polynomial approach to nonlinear system controllability

AU - Zheng, YF

AU - Willems, JC

AU - Zhang, CH

PY - 2001/11

Y1 - 2001/11

N2 - This note uses a polynomial approach to present a necessary and sufficient condition for local controllability of single-input-single-output (SISO) nonlinear systems. The condition is presented in terms of common factors of a noncommutative polynomial expression. This result exposes controllability properties of a nonlinear system in the input-output framework, and gives a computable procedure for examining nonlinear system controllability using computer algebra.

AB - This note uses a polynomial approach to present a necessary and sufficient condition for local controllability of single-input-single-output (SISO) nonlinear systems. The condition is presented in terms of common factors of a noncommutative polynomial expression. This result exposes controllability properties of a nonlinear system in the input-output framework, and gives a computable procedure for examining nonlinear system controllability using computer algebra.

KW - common factor

KW - controllability

KW - differential fields

KW - non-commutative ring

KW - nonlinear systems

M3 - Article

SN - 0018-9286

VL - 46

SP - 1782

EP - 1788

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 11

ER -