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2008 On the Continuity Properties of the Attainable Sets of Nonlinear Control Systems with Integral Constraint on Controls
Khalik G. Guseinov, Ali S. Nazlipinar
Abstr. Appl. Anal. 2008: 1-14 (2008). DOI: 10.1155/2008/295817

Abstract

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 μ 0 in L p ( [ t 0 , θ ] ; m ) ( p ( 1 , + ) ) . 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.

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Khalik G. Guseinov. Ali S. Nazlipinar. "On the Continuity Properties of the Attainable Sets of Nonlinear Control Systems with Integral Constraint on Controls." Abstr. Appl. Anal. 2008 1 - 14, 2008. https://doi.org/10.1155/2008/295817

Information

Published: 2008
First available in Project Euclid: 9 September 2008

zbMATH: 05313167
MathSciNet: MR2393114
Digital Object Identifier: 10.1155/2008/295817

Rights: Copyright © 2008 Hindawi

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