On the semicontinuity properties of the set of trajectories of the nonlinear control systems with integral constraints on the control functions

HÜSEYİN N.

International Journal of Control, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1080/00207179.2024.2354824
  • Dergi Adı: International Journal of Control
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, zbMATH
  • Anahtar Kelimeler: Hausdorff semicontinuity, integral constraint, Nonlinear control system, set of trajectories, Vietoris semicontinuity
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper the control system described by the ordinary nonlinear differential equation is considered. The admissible control functions are chosen from the closed ball of radius r in the space (Formula presented.) (Formula presented.), centred at the origin. The behaviour of the set of trajectories at p = 1 is studied. It is proved that the set of trajectories is the Hausdorff right upper semicontinuous and Vietoris right lower semicontinuous at p = 1. It is illustrated that it is not Hausdorff right lower semicontinuous at p = 1.