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

Guseinov K. G.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.71, no.1-2, pp.622-645, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 71 Issue: 1-2
  • Publication Date: 2009
  • Doi Number: 10.1016/j.na.2008.10.097
  • Journal Name: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.622-645
  • Keywords: Nonlinear control system, Integral constraint, Attainable set, Approximation method, MINIMUM ENERGY, TIME, CONSTRUCTION, GAME
  • Anadolu University Affiliated: No

Abstract

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.