Title
A polynomial approach to nonlinear system controllability
Abstract
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
Year
DOI
Venue
2001
10.1109/9.964691
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Polynomials,Nonlinear systems,Controllability,Control systems,Linear systems,State-space methods,Nonlinear control systems,System testing,Switches,Sufficient conditions
Noncommutative geometry,Mathematical optimization,Nonlinear system,Polynomial,Controllability,Control theory,Differential algebra,Symbolic computation,Polynomial Expression,Mathematics
Journal
Volume
Issue
ISSN
46
11
0018-9286
Citations 
PageRank 
References 
21
2.43
1
Authors
3
Name
Order
Citations
PageRank
Yufan Zheng19112.83
Jan C. Willems2427112.68
Cishen Zhang377468.79