Stabilizability Theorems on Discrete-time Nonlinear Uncertain Systems
Optimization and Control
2020-07-23 v1
Abstract
This paper derives two stabilizability theorems for a basic class of discrete-time nonlinear systems with multiple unknown parameters. First, we claim that a discrete-time multi-parameter system is stabilizable if its nonlinear growth rate is dominated by a polynomial rule. Later, we find that a stabilizable multi-parameter system in discrete time is possible to grow exponentially fast. Meanwhile, optimality and closed-loop identification are also discussed in this paper.
Cite
@article{arxiv.2007.11122,
title = {Stabilizability Theorems on Discrete-time Nonlinear Uncertain Systems},
author = {Zhaobo Liu and Chanying Li},
journal= {arXiv preprint arXiv:2007.11122},
year = {2020}
}