Approximation of the attainable sets of the nonlinear control systems with integral constraint on controls

Guseinov K. G.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.71, sa.1-2, ss.622-645, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 1-2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.na.2008.10.097
  • Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.622-645
  • Anahtar Kelimeler: Nonlinear control system, Integral constraint, Attainable set, Approximation method, MINIMUM ENERGY, TIME, CONSTRUCTION, GAME
  • Anadolu Üniversitesi Adresli: Hayır

Özet

In this article the attainable sets of a control system are investigated. It is assumed that the behavior of the control system is described by a differential equation which is nonlinear with respect to the phase state vector and control vector. The admissible control functions are chosen from the closed ball centered at the origin with radius mu(0) in L-p ([t(0), theta] ; R-m) with p is an element of (1 + infinity). An approximation method has been obtained for numerical construction of the attainable sets. (C) 2008 Elsevier Ltd. All rights reserved.