Stability analysis of a hybrid system arising from feedback control of flexible robots
type: Item
instance of: scholarly article
title: Stability analysis of a hybrid system arising from feedback control of flexible robots
zbMATH Open document ID: 0879.93042
DOI: 10.1007/BF03167256
author: Bao-Zhu Guo
author: Zhenghua Luo
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 1997-06-01T00:00:00Z
review text: The important paper deals with the problem of stability analysis for a hybrid system consisting of a coupled partial differential equation and an ordinary differential equation arising from shear force feedback control of flexible robots. Conditions on the uniformly exponential decay of solutions of the entire system have not been obtained by using the conventional method such as the Liapunov function method. These conditions are made clear by reformulating the problem and by doing spectral analysis. Main result: The authors show that if the feedback gains are properly chosen then the entire hybrid system is uniformly exponentially stable, which is very useful in practical applications.
reviewed by: Jan Lovíšek
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C85
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 1000121
zbMATH Keywords: exponential stability
zbMATH Keywords: shear force feedback control of flexible robots
zbMATH Keywords: spectral analysis
MaRDI profile type: Publication
cites work: Spectral properties of finite-dimensional perturbed linear semigroups
cites work: ON THE CONVERGENCE OF EIGENFUNCTION EXPANSIONS
cites work: Asymptotic behaviour of the spectrum of a direct feedback control system
cites work: Feedback boundary control problems for linear semigroups
full work available at URL: https://doi.org/10.1007/bf03167256
OpenAlex ID: W2001088960
description: scientific article; zbMATH DE number 1000121