Approximation of the Set of Trajectories of the Nonlinear Control System with Limited Control Resources

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HÜSEYİN N., HÜSEYİN A., Guseinov K.

MATHEMATICAL MODELLING AND ANALYSIS, cilt.23, sa.1, ss.152-166, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3846/mma.2018.010
  • Dergi Adı: MATHEMATICAL MODELLING AND ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.152-166
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper the control system described by a Urysohn type integral equation is studied. It is assumed that the control functions have integral constraint. Approximation of the set of trajectories generated by all admissible control functions is considered. Step by step way, the set of admissible control functions is replaced by a set consisting of a finite number of control functions which generates a finite number of trajectories. An evaluation of the Hausdorff distance between the set of trajectories of the system and the set, consisting of a finite number of trajectories is obtained.