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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Math. Comput. Appl. 2003, 8(1), 127-134; https://doi.org/10.3390/mca8010127
Published: 1 April 2003
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
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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. https://doi.org/10.3390/mca8010127
AMA Style
Guseinov KG, Ozer O, Akyar E. On the Semicontinuity Properties of the Attainable Sets of Control Systems with Controls in Lp. Mathematical and Computational Applications. 2003; 8(1):127-134. https://doi.org/10.3390/mca8010127
Chicago/Turabian StyleGuseinov, Kh. G., Orhan Ozer, and Emrah Akyar. 2003. "On the Semicontinuity Properties of the Attainable Sets of Control Systems with Controls in Lp" Mathematical and Computational Applications 8, no. 1: 127-134. https://doi.org/10.3390/mca8010127
