On the stability of delayed feedback controllers for discrete time systems

Files

On the stability of delayed feedback controllers for discrete time systems.pdf (271.32 KB)

Date

2005

Authors

Morgül, Ö.

Editor(s)

Advisor

Supervisor

Co-Advisor

Co-Supervisor

Instructor

Source Title

Physics Letters A

Print ISSN

0375-9601

Electronic ISSN

Publisher

Elsevier

Volume

335

Issue

1

Pages

31 - 42

Language

English

Type

Article

Journal Title

Journal ISSN

Volume Title

Citation Stats
Attention Stats
Usage Stats
3
views
14
downloads

Series

Abstract

We consider the stability of delayed feedback control (DFC) scheme for multi-dimensional discrete time systems. We first construct a map whose fixed points correspond to the periodic orbits of the uncontrolled system. Then the stability of the DFC is analyzed as the stability of the corresponding equilibrium point of the constructed map. For each periodic orbit, we construct a characteristic polynomial whose Schur stability corresponds to the stability of DFC scheme. © 2005 Elsevier B.V. All rights reserved.

Course

Other identifiers

Book Title

Keywords

Chaos control, Chaotic systems, Delayed feedback, Pyragas controller

Degree Discipline

Degree Level

Degree Name

Citation

Permalink

http://hdl.handle.net/11693/24123

Published Version (Please cite this version)

http://dx.doi.org/10.1016/j.physleta.2004.12.006

Collections

Scholarly Publications - Electrical and Electronics Engineering