On connectivity of the set of discontinuous solutions of a dynamic system with impulsive control
type: Item
instance of: scholarly article
title: On connectivity of the set of discontinuous solutions of a dynamic system with impulsive control
zbMATH Open document ID: 0916.93013
author: A. N. Sesekin
published in: Russian Mathematics
publication date: 1998-10-25T00:00:00Z
review text: A class of nonlinear control systems with impulsive integrally bounded controls is considered. The set of the admissible trajectories of a system from this class is defined as the closure of the set of all absolutely continuous trajectories of this system (in the topology of point-wise convergence). First, some topological properties of the set of admissible controls are established. Next, the connectivity of the corresponding attainability set is studied under suitable assumptions.
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1175178
zbMATH Keywords: nonlinear control system
zbMATH Keywords: impulsive control
zbMATH Keywords: attainability set
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1175178