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Math. Comput. Appl. 2003, 8(1), 127-134; doi:10.3390/mca8010127

On the Semicontinuity Properties of the Attainable Sets of Control Systems with Controls in Lp

Department of Mathematics, Faculty of Science, Anadolu University 26470 Eskisehir, Turkey
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Published: 1 April 2003
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Abstract

In this article the properties of attainable sets of control systems with integral constraints on control are studied. The admissible control functions are chosen from the ball centered at the origin and of radius μ0 in Lp, p > 1 It is proved that the attainable sets of the system at the fixed instant of time are left side lower semicontinuous and right side upper semicontinuous with respect to p.
Keywords: Control System; Attainable Set; Integral Constraint Control System; Attainable Set; Integral Constraint
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Guseinov, K.G.; Ozer, O.; Akyar, E. On the Semicontinuity Properties of the Attainable Sets of Control Systems with Controls in Lp. Math. Comput. Appl. 2003, 8, 127-134.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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