Local controllability of 2D nonlinear systems
type: Item
instance of: scholarly article
title: Local controllability of 2D nonlinear systems
zbMATH Open document ID: 0941.93005
published in: Bulletin of the Polish Academy of Sciences. Technical Sciences
publication date: 1999-09-22T00:00:00Z
review text: The author considers constrained controllability for nonlinear discrete 2D systems of the form \[ x(i+ 1,j+1)= f(x(i, j), x(i+ 1,j), x(i,j+1), u(i,j), u(i+ 1, j),u(i,j+ 1)),\tag{1} \] \(x(i,j)\in \mathbb{R}^n\), \(u(i,j)\in \mathbb{R}^m\) are the state and input vectors at the point \((i,j)\) and \(f: \mathbb{R}^n\times \mathbb{R}^n\times \mathbb{R}^n\times \mathbb{R}^m\times \mathbb{R}^m\times \mathbb{R}^m\to \mathbb{R}^n\). Using some mapping theorems and linear approximations of (1) sufficient conditions for constrained controllability are established. The paper extends some previous results of the author.
reviewed by: Tadeusz Kaczorek
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B18
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1341251
zbMATH Keywords: linearization
zbMATH Keywords: constrained controllability
zbMATH Keywords: nonlinear discrete 2D systems
author: Jerzy Klamka
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1341251