External ellipsoidal estimates of the attainability sets of differential impulse systems

The problems of estimating a tube of solutions of dynamic systems described by differential equations containing generalized (impulse) control functions are considered. It is supposed that a special constraint of an ellipsoidal type is imposed on the control, and, in particular, that the vectors of...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computer & systems sciences international 2006-01, Vol.45 (1), p.34-43
Main Authors: Vzdornova, O G, Filippova, T F
Format: Article
Language:English
Subjects:
Construction
Dynamical systems
Dynamics
Ellipsoids
Estimates
Impulses
Mathematical analysis
Mathematical models
Studies
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The problems of estimating a tube of solutions of dynamic systems described by differential equations containing generalized (impulse) control functions are considered. It is supposed that a special constraint of an ellipsoidal type is imposed on the control, and, in particular, that the vectors of jumps of generalized equations are to belong to a specified ellipsoid of the appropriate finite-dimensional space. To obtain external estimates of the attainability sets of the system, the results of ellipsoidal calculus, which is well developed nowadays, are applied. A new method for constructing estimates based on the external ellipsoidal approximation of the convex set of a union of ellipsoids is also proposed. Particular examples of constructing estimates of the attainability set are considered based on the proposed methods.[PUBLICATION ABSTRACT]
ISSN:1064-2307
1555-6530
DOI:10.1134/S1064230706010047