Positional synthesis of bounded inertial controls for systems with one-dimensional control
type: Item
instance of: scholarly article
title: Positional synthesis of bounded inertial controls for systems with one-dimensional control
zbMATH Open document ID: 1025.93012
DOI: 10.1023/A:1016001723925
author: V. A. Skorik
author: V. I. Korobov
published in: Differential Equations
publication date: 2003-05-25T00:00:00Z
review text: Consider the problem of bringing an initial point to the neighbourhood of a trajectory in a finite time. Inertial control refers to control systems in which the absolute values of the \(k\)th-order derivative of the control along the trajectories of the systems are bounded, for various given values of \(k\), including zero. The present paper is two-fold. Firstly, one solves the inertial control problem for linear dynamics with linear control. And secondly, one shows how the inertial control problem for completely controllable systems can be reduced to the same problem for the canonical system. Lastly, one exhibits the relations that exist between inertial controls and bounded controls.
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 1916043
zbMATH Keywords: bounded control derivation
zbMATH Keywords: inertial control
zbMATH Keywords: linear dynamics
zbMATH Keywords: bounded controls
reviewed by: Guy Jumarie
MaRDI profile type: Publication
full work available at URL: a:1016001723925
OpenAlex ID: W188085202
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description: scientific article; zbMATH DE number 1916043