On the approximation of the set of trajectories of control system described by a Volterra integral equation
Articles
Anar Huseyin
Anadolu University, Turkey
Published 2014-04-10
https://doi.org/10.15388/NA.2014.2.4
PDF

Keywords

nonlinear Volterra integral equation
control system
integral constraint
set of trajectories
approximation

How to Cite

Huseyin A. (2014) “On the approximation of the set of trajectories of control system described by a Volterra integral equation”, Nonlinear Analysis: Modelling and Control, 19(2), pp. 199-208. doi: 10.15388/NA.2014.2.4.

Abstract

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 Lp, p > 1, with radius µ 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.

PDF
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Please read the Copyright Notice in Journal Policy