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Abstract and Applied AnalysisVolume 2008 2008, Article ID 295817, 14 pages

Research ArticleDepartment of Mathematics, Anadolu University, Eskisehir 26470, , Turkey

Received 11 June 2007; Revised 30 August 2007; Accepted 6 November 2007

Academic Editor: Agacik Zafer

Copyright © 2008 Khalik G. Guseinov and Ali S. Nazlipinar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The attainable sets of the nonlinear control systems with integral constraint on thecontrol functions are considered. It is assumed that the behavior of control system is described bydifferential equation which is nonlinear with respect to phase-state vector and control vector. Theadmissible control functions are chosen from the closed ball centered at the origin with radius 𝜇0 in 𝐿𝑝𝑡0,𝜃;ℝ𝑚𝑝∈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.





Autor: Khalik G. Guseinov and Ali S. Nazlipinar

Fuente: https://www.hindawi.com/



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