A polynomial approach to nonlinear system controllability

Authors
Zheng, YF Willems, JC Zhang, CH
Citation
Yf. Zheng et al., A polynomial approach to nonlinear system controllability, IEEE AUTO C, 46(11), 2001, pp. 1782-1788
Citations number
19
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
46
Issue
11
Year of publication
2001
Pages
1782 - 1788
Database
ISI
SICI code
0018-9286(200111)46:11<1782:APATNS>2.0.ZU;2-U
Abstract
This note uses a polynomial approach to present a necessary and sufficient condition for local controllability of single-input-single-output (SISO) no nlinear 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.