scholarly journals Random Invariant Measure of Delayed-Feedback Control Systems

2005 ◽  
Vol 48 (1) ◽  
pp. 53-59
Author(s):  
Katsutoshi YOSHIDA ◽  
Keijin SATO
Keyword(s):  
Feedback Control ◽  
Invariant Measure ◽  
Control Systems ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Feedback Control Systems

BIFURCATION DYNAMICS IN CONTROL SYSTEMS

1999 ◽  
Vol 09 (01) ◽  
pp. 287-293 ◽  
Author(s):  
GUANRONG CHEN ◽  
JIALIANG LU ◽  
BRENT NICHOLAS ◽  
SWATIPRAKASH M. RANGANATHAN
Keyword(s):  
Hopf Bifurcation ◽  
Feedback Control ◽  
Control Systems ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Main Concern ◽  
Feedback Strategy ◽  
Feedback Control Systems ◽  
Time Delayed Feedback ◽  
Control Purpose

This paper is to report the observation that when the popular time-delayed feedback strategy is used for control purpose, it may actually create unwanted bifurcations. Hopf bifurcation created by delayed feedback control is the main concern of this article, but some other types of bifurcations are also observed to exist in such delayed-feedback control systems. The observations are illustrated by computer simulations.

ESTIMATION OF AN ATTRACTION REGION IN ONE-DIMENSIONAL DELAYED-FEEDBACK CONTROL SYSTEMS

2005 ◽  
Vol 15 (02) ◽  
pp. 689-695
Author(s):  
KEIJI KONISHI
Keyword(s):  
Control Systems ◽  
Chaotic Systems ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
One Dimensional ◽  
Feedback Control Systems ◽  
Linear Matrix Inequality Approach ◽  
Feedback Method

This paper presents a simple numerical scheme for estimating the attraction region of a fixed point in one-dimensional discrete-time chaotic systems controlled by the delayed-feedback method. This scheme employs the well-known linear matrix inequality approach. A systematic procedure for estimating the region is provided, and numerical examples are used to validate the results.

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