Control of nonlinear variable structure systems
type: Item
instance of: scholarly article
title: Control of nonlinear variable structure systems
zbMATH Open document ID: 0622.93026
DOI: 10.1016/0022-247X(86)90289-1
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: This paper is devoted to the research of different nonlinear control problems with variable structure described by \(\dot x=f(t,x,u)\), \(x(t)\in R^ n\), \(u(t)\subset V\in R^ m\) with sliding manifold \(S(x)=0,S(x)\in R^ m\). Controllability conditions based on Filipov's definition of the solution of ordinary differential equations with discontinuous right-hand sides are derived. The derived conditions are illustrated via particular control problems with variable structure.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 49J30
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4010318
zbMATH Keywords: nonlinear control problems with variable structure
zbMATH Keywords: sliding manifold
zbMATH Keywords: Controllability conditions
author: Giorgio Bartolini
author: Tullio Zolezzi
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4010318