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

Kh. G. Guseinov; Orhan Ozer; Emrah Akyar

doi:10.3390/mca8010127

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1 April 2003

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

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Department of Mathematics, Faculty of Science, Anadolu University 26470 Eskisehir, Turkey

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

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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 L_p, 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

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