Stabilizability Theorems on Discrete-time Nonlinear Uncertain Systems

2020/07/21 by Zhaobo Liu, Liu, Zhaobo, Chanying Li +1
Engineering · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems

paper · pdf · doi:10.48550/arxiv.2007.11122

openalex publication_date 2020/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Least Squares Estimates in Stochastic Regression Models with Applications to Identification and Control of Dynamic Systems
• Asymptotic Behavior of Least Squares Estimator for Nonlinear Autoregressive Models

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