Stabilizability Theorems on Discrete-time Nonlinear Uncertain Systems

Zhaobo Liu; Chanying Li

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arXiv · 2007.11122

Stabilizability Theorems on Discrete-time Nonlinear Uncertain Systems

Zhaobo Liu·Chanying Li

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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.

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Zhaobo Liu, Chanying Li. 2020-07-21. Stabilizability Theorems on Discrete-time Nonlinear Uncertain Systems. https://arxiv.org/abs/2007.11122

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