Title :
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
fDate :
10/1/1999 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
