Dependence on the parameters of the set of trajectories of the control system described by a nonlinear Volterra integral equation
APPLICATIONS OF MATHEMATICS, vol.59, no.3, pp.303-317, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 59 Issue: 3
- Publication Date: 2014
- Doi Number: 10.1007/s10492-014-0056-4
- Journal Name: APPLICATIONS OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.303-317
- Keywords: nonlinear Volterra integral equation, control system, integral constraint
- Open Archive Collection: AVESIS Open Access Collection
- Anadolu University Affiliated: Yes
Abstract
In this paper the control system with limited control resources is studied, where the behavior of the system is described by a nonlinear Volterra integral equation. The admissible control functions are chosen from the closed ball centered at the origin with radius A mu in L (p) (p > 1). It is proved that the set of trajectories generated by all admissible control functions is Lipschitz continuous with respect to A mu for each fixed p, and is continuous with respect to p for each fixed A mu. An upper estimate for the diameter of the set of trajectories is given.