Approximation of the Sections of the Set of Trajectories of the Control System Described by a Nonlinear Volterra Integral Equation
Mathematical Modelling and Analysis, vol.20, no.4, pp.502-515, 2015 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 20 Issue: 4
- Publication Date: 2015
- Doi Number: 10.3846/13926292.2015.1070766
- Journal Name: Mathematical Modelling and Analysis
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.502-515
- Keywords: nonlinear Volterra integral equation, control system, integral constraint, set of trajectories, approximation method, ATTAINABLE SETS, CONSTRAINT
- Open Archive Collection: AVESIS Open Access Collection
- Anadolu University Affiliated: Yes
Abstract
© 2015, © Vilnius Gediminas Technical University, 2015.Abstract: Approximation of the sections of the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. The admissible control functions are chosen from the closed ball of the space Lp, p > 1, with radius µ and centered at the origin. The set of admissible control functions is replaced by the set of control functions, which includes a finite number of control functions and generates a finite number of trajectories. It is proved that the sections of the set of trajectories can be approximated by the sections of the set of trajectories, generated by a finite number of control functions.