On the approximation of the set of trajectories of control system described by a Volterra integral equation

Creative Commons License

Huseyin A.

NONLINEAR ANALYSIS-MODELLING AND CONTROL, vol.19, no.2, pp.199-208, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 2
  • Publication Date: 2014
  • Doi Number: 10.15388/na.2014.2.4
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.199-208
  • Keywords: nonlinear Volterra integral equation, control system, integral constraint, set of trajectories, approximation, NONLINEAR CONTROL-SYSTEMS, ATTAINABLE SETS, CONSTRAINT
  • Anadolu University Affiliated: No


In this paper, the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. It is assumed that the set of admissible control functions is the closed ball of the space L-p, p > 1, with radius mu and centered at the origin. It is shown that the sections of the set of trajectories can be approximated by the sections of trajectories, generated by the mixed constrained and Lipschitz continuous control functions, the Lipschitz constant of which is bounded.