Global stabilization by output dynamic feedback for triangular systems
type: Item
instance of: scholarly article
title: Global stabilization by output dynamic feedback for triangular systems
zbMATH Open document ID: 0937.93038
DOI: 10.1016/S0005-1098(98)00172-1
published in: Automatica
publication date: 2000-06-07T00:00:00Z
review text: The systems considered in this paper are in single input, triangular form \[ \begin{cases} \dot x = f(x,y_1)\\ \dot y_1=y_2+g_1(x,y_1)\\ \dot y_2=y_3+g_2(x,y_1,y_2)\\ \hdotsfor 1\\ \dot y_m+y_{m+1}+g_m(x,y_1,\dots,y_m)\end{cases} \] where \(x\in\mathbb{R}^n\). The variables \(y_{m+1}\) and \(y_1\) play respectively the roles of the input and the output. The author proves that if the subsystem \(\dot x = f(x,v)\) is ISS-stable and some extra conditions are satisfied by the functions \(f,g_1,\dots,g_m\), then the system is stabilizable by dynamic output feedback.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1325720
zbMATH Keywords: triangular systems
zbMATH Keywords: stabilization
zbMATH Keywords: dynamic output feedback
author: J. Tsinias
reviewed by: Andrea Bacciotti
MaRDI profile type: Publication
full work available at URL: s0005-1098(98)00172-1
OpenAlex ID: W2090948734
description: scientific article; zbMATH DE number 1325720