Upper Bounds for the Distance between a Controllable Switched Linear System and the Set of Uncontrollable Ones
Joint Authors
Clotet, Josep
Magret, M. Dolors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The set of controllable switched linear systems is an open and dense set in the space of all switched linear systems.
Therefore it makes sense to compute the distance from a controllable system to the nearest uncontrollable one.
In the case of a standard system, x˙t=Axt+But, R.
Eising, D.
Boley, and W.
S.
Lu obtain some results for this distance, both in the complex and real cases.
In this work we explore this distance, for switched linear systems in the real case, obtaining upper bounds for it.
The main contribution of the paper is to prove that a natural generalization of the upper bound obtained by D.
Boley and W.
S.
Lu is true in the case of switched linear systems.
American Psychological Association (APA)
Clotet, Josep& Magret, M. Dolors. 2013. Upper Bounds for the Distance between a Controllable Switched Linear System and the Set of Uncontrollable Ones. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1011262
Modern Language Association (MLA)
Clotet, Josep& Magret, M. Dolors. Upper Bounds for the Distance between a Controllable Switched Linear System and the Set of Uncontrollable Ones. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1011262
American Medical Association (AMA)
Clotet, Josep& Magret, M. Dolors. Upper Bounds for the Distance between a Controllable Switched Linear System and the Set of Uncontrollable Ones. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1011262
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1011262