Approximation of the Set of Trajectories of the Nonlinear Control System with Limited Control Resources-Reference-Cited by-同舟云学术

Approximation of the Set of Trajectories of the Nonlinear Control System with Limited Control Resources

Published:2018-02-12 Issue:1 Volume:23 Page:152-166
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Huseyin Nesir¹,Huseyin Anar¹,Guseinov Khalik²

Affiliation:

1. Cumhuriyet University

2. Anadolu University

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

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