Robust stabilization of interval dynamic systems
type: Item
instance of: scholarly article
title: Robust stabilization of interval dynamic systems
zbMATH Open document ID: 0918.93049
published in: Journal of Computer and Systems Sciences International
publication date: 1998-10-18T00:00:00Z
review text: The author considers a controlled process described by the linear system \( \dot x = Ax + Bu\), where \(x \in R^n\), \(u \in R^m\) are vectors of phase coordinates and control actions, respectively; the matrices \(A, B\) are not known, upper and lower bounds on the values of all its elements being given. The problem investigated is to construct feedback control actions stabilizing the system up to Lyapunov asymptotic stability with a prescribed robustness measure, i.e the closed-loop interval system should be exponentially stable and the eigenvalues of its matrix should satisfy given restrictions. Sufficient conditions ensuring the existence of robust feedback controllers are presented and an algorithm for determining sought control actions is justified. An example illustrating the technique is given.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 1175234
zbMATH Keywords: interval dynamic systems
zbMATH Keywords: feedback stabilization
zbMATH Keywords: robust stability
zbMATH Keywords: linear system
author: Vladimir N. Shashikhin
reviewed by: Ernst G. Al'brekht
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1175234