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Global Stabilizability Theorems on Discrete-Time Nonlinear Uncertain Systems

Authors :
Liu, Zhaobo
Li, Chanying
Source :
IEEE Transactions on Automatic Control; 2023, Vol. 68 Issue: 6 p3226-3240, 15p
Publication Year :
2023

Abstract

This article focuses on the stabilizability problem for a basic class of discrete-time nonlinear systems with multiple unknown parameters. We claim that such a system is stabilizable if its nonlinear growth rate is dominated by a polynomial rule. This rule cannot be relaxed in general since it becomes a necessary and sufficient condition when the system has a polynomial form (Li and Lam, 2013). We further prove that the concerned stabilizable system is possible to grow exponentially fast. Meanwhile, optimality and closed-loop identification are also discussed herein.

Details

Language :
English
ISSN :
00189286 and 15582523
Volume :
68
Issue :
6
Database :
Supplemental Index
Journal :
IEEE Transactions on Automatic Control
Publication Type :
Periodical
Accession number :
ejs63155777
Full Text :
https://doi.org/10.1109/TAC.2022.3194962