On the semicontinuity properties of the attainable sets of control systems with controls in Lp

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Guseinov K., ÖZER O., AKYAR E.

Mathematical and Computational Applications, cilt.8, sa.1-3, ss.127-134, 2003 (Scopus) identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 8 Sayı: 1-3
  • Basım Tarihi: 2003
  • Doi Numarası: 10.3390/mca8010127
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.127-134
  • Anahtar Kelimeler: Attainable Set, Control Systes, Integral Constraint
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.