Properties of the attainability set of a dynamic system with impulsive control
type: Item
instance of: scholarly article
title: Properties of the attainability set of a dynamic system with impulsive control
zbMATH Open document ID: 0846.93007
author: A. N. Sesekin
published in: Automation and Remote Control
publication date: 1996-06-06T00:00:00Z
review text: A nonlinear control system with impulsive integrally bounded control is considered. It is shown that the attainable set is compact and continuously dependent with respect to parameters and resource of controls. As a corollary, it is obtained that the extremal value of a terminal functional of an optimal control impulse problem depends also in a continuous way on the perturbations of parameters and resource of control. For a particular case of bilinear systems, the number of control pulses, needed to transfer the phase point of the system from its initial position to a given point of the attainable set, is estimated.
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 884177
zbMATH Keywords: impulsive control
zbMATH Keywords: nonlinear
zbMATH Keywords: attainable set
zbMATH Keywords: optimal control
zbMATH Keywords: bilinear systems
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 884177