On the continuity properties of the attainable sets of nonlinear control systems with integral constraint on controls
type: Item
instance of: scholarly article
title: On the continuity properties of the attainable sets of nonlinear control systems with integral constraint on controls
zbMATH Open document ID: 1395.93114
DOI: 10.1155/2008/295817
author: Khalik G. Guseinov
author: Ali S. Nazlipinar
published in: Abstract and Applied Analysis
publication date: 2008-08-19T00:00:00Z
review text: Summary: The attainable sets of the nonlinear control systems with integral constraint on the control functions are considered. It is assumed that the behavior of control system is described by differential equation which is nonlinear with respect to phase-state vector and control vector. The admissible control functions are chosen from the closed ball centered at the origin with radius \(\mu _{0}\) in \(L_p([t_0,\theta];\mathbb R^{m})\, (p\in (1,+\infty ))\). Precompactness of the solutions set is specified, and dependence of the attainable sets on the initial conditions and on the parameters of the control system is studied.
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 5313167
Wikidata QID: Q58644312
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2008/295817
OpenAlex ID: W2003069425
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description: scientific article; zbMATH DE number 5313167