Work

Stabilizability Theorems on Discrete-time Nonlinear Uncertain Systems

Year: 2020

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2007.11122

Authors: Liu, Zhaobo, Li, Chanying

Institutions: Chinese Academy of Sciences, Academy of Mathematics and Systems Science

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3045298896

Cites: 26

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Related to: 10