Approximation of the Set of Trajectories of the Nonlinear Control System with Limited Control Resources
MATHEMATICAL MODELLING AND ANALYSIS, vol.23, no.1, pp.152-166, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 23 Issue: 1
- Publication Date: 2018
- Doi Number: 10.3846/mma.2018.010
- Journal Name: MATHEMATICAL MODELLING AND ANALYSIS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.152-166
- Keywords: control system, nonlinear integral equation, integral constraint, set of trajectories, approximation, VOLTERRA INTEGRAL-EQUATION, CONSTRUCTION, CONSTRAINTS
- Open Archive Collection: AVESIS Open Access Collection
- Anadolu University Affiliated: Yes
Abstract
In this paper the control system described by a Urysohn type integral equation is studied. It is assumed that the control functions have integral constraint. Approximation of the set of trajectories generated by all admissible control functions is considered. Step by step way, the set of admissible control functions is replaced by a set consisting of a finite number of control functions which generates a finite number of trajectories. An evaluation of the Hausdorff distance between the set of trajectories of the system and the set, consisting of a finite number of trajectories is obtained.