Consistent Approximations of the Zeno Behaviour in Affine-Type Switched Dynamic Systems
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper proposes a new theoretic approach to a specific interaction of continuous and discrete dynamics in switched control systems known as a Zeno behaviour.
We study executions of switched control systems with affine structure that admit infinitely many discrete transitions on a finite time interval.
Although the real world processes do not present the corresponding behaviour, mathematical models of many engineering systems may be Zeno due to the used formal abstraction.
We propose two useful approximative approaches to the Zeno dynamics, namely, an analytic technique and a variational description of this phenomenon.
A generic trajectory associated with the Zeno dynamics can finally be characterized as a result of a specific projection or/and an optimization procedure applied to the original dynamic model.
The obtained analytic and variational techniques provide an effective methodology for constructive approximations of the general Zeno-type behaviour.
We also discuss shortly some possible applications of the proposed approximation schemes.
American Psychological Association (APA)
Azhmyakov, V.. 2016. Consistent Approximations of the Zeno Behaviour in Affine-Type Switched Dynamic Systems. Abstract and Applied Analysis،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1094728
Modern Language Association (MLA)
Azhmyakov, V.. Consistent Approximations of the Zeno Behaviour in Affine-Type Switched Dynamic Systems. Abstract and Applied Analysis No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1094728
American Medical Association (AMA)
Azhmyakov, V.. Consistent Approximations of the Zeno Behaviour in Affine-Type Switched Dynamic Systems. Abstract and Applied Analysis. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1094728
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1094728