On zero-controllability in a part of variables of nonlinear dynamic systems
type: Item
instance of: scholarly article
title: On zero-controllability in a part of variables of nonlinear dynamic systems
zbMATH Open document ID: 0935.93016
author: V. I. Vorotnikov
published in: Automation and Remote Control
publication date: 2000-05-04T00:00:00Z
review text: Certain types of nonlinear, continuous-time, finite-dimensional control systems are considered. It is generally assumed that the controls and state variables are geometrically constrained. The notion of null-controllability in a part of the state variables is defined. Using suitably defined simple linear problems of optimal control, sufficient conditions for null-controllability in finite time are formulated and proved. The relationship between null-controllability and stabilizability is also discussed. As an illustrative example, a constructive solution of the nonlinear problem of a reorientation of a rigid body is given. Moreover, several remarks and comments on relationships between controllability and optimal control problems are presented. It should be stressed, that control problems in a part of the state variables have been recently considered in the author's monograph [Stability of dynamical systems with respect to a part of the variables (Russian). Moskva: Nauka (1991; Zbl 0734.93063)].
reviewed by: Jerzy Klamka
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1263113
zbMATH Keywords: state constraint
zbMATH Keywords: constrained controls
zbMATH Keywords: saturation
zbMATH Keywords: nonlinear
zbMATH Keywords: null-controllability in a part of the state variables
zbMATH Keywords: optimal control
zbMATH Keywords: stabilizability
zbMATH Keywords: reorientation of a rigid body
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1263113