Stability of extended delayed-feedback control for discrete-time chaotic systems

Author

Konishi, Keiji ; Ishii, Morio ; Kokame, Hideki

Author_Institution

Dept. of Electr. & Electron. Eng., Osaka Prefectural Univ., Sakai, Japan

Volume

46

Issue

10

fYear

1999

fDate

10/1/1999 12:00:00 AM

Firstpage

1285

Lastpage

1288

Abstract

The delayed-feedback control method has been utilized to stabilize real chaotic systems, since this method does not require a reference signal corresponding to a desired unstable periodic orbit. Ushio (1996) considered a discrete-time version of the delayed-feedback control system and derived a sufficient condition for the control system to be unstable. This paper analyzes the stability of the extended delayed-feedback control method proposed by Socolar et al. (1994). We derive simple instability conditions for the control system. To illustrate the conditions we give numerical examples

Keywords

Jacobian matrices; chaos; discrete time systems; eigenvalues and eigenfunctions; feedback; nonlinear control systems; stability criteria; Jacobian matrix; closed loop system; discrete-time chaotic systems; extended delayed-feedback control; instability conditions; multivariable discrete time version; real chaotic systems; real eigenvalues; stability analysis; Chaos; Circuit stability; Control systems; Delay systems; Digital-to-frequency converters; Electronic circuits; Laser theory; Magnetic devices; Stability analysis; Sufficient conditions;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.795842

Filename

795842