Stabilizing Unstable Steady States Using Multiple Delay Feedback Control

2004 ◽  
Vol 93 (26) ◽  
Author(s):  
Alexander Ahlborn ◽  
Ulrich Parlitz
Keyword(s):  
Feedback Control ◽  
Steady States ◽  
Multiple Delay ◽  
Delay Feedback Control ◽  
Unstable Steady States

Multiple Delay Feedback Control

2008 ◽  
pp. 197-220
Author(s):  
Alexander Ahlborn ◽  
Ulrich Parlitz
Keyword(s):  
Feedback Control ◽  
Multiple Delay ◽  
Delay Feedback Control

BIFURCATION ANALYSIS OF A NFDE ARISING FROM MULTIPLE-DELAY FEEDBACK CONTROL

2011 ◽  
Vol 21 (03) ◽  
pp. 759-774 ◽  
Author(s):  
BEN NIU ◽  
JUNJIE WEI
Keyword(s):  
Differential Equation ◽  
Hopf Bifurcation ◽  
Feedback Control ◽  
Center Manifold ◽  
Amplitude Equation ◽  
Neutral Functional Differential Equation ◽  
Multiple Delay ◽  
Delay Feedback Control ◽  
Functional Differential ◽  
The Stability

We study the stability and Hopf bifurcation of a neutral functional differential equation (NFDE) which is transformed from an amplitude equation with multiple-delay feedback control. By analyzing the distribution of the eigenvalues, the stability and existence of Hopf bifurcation are obtained. Furthermore, the direction and stability of the Hopf bifurcation are determined by using the center manifold and normal form theories for NFDEs. Finally, we carry out some numerical simulations to illustrate the results.

Stabilization of unstable steady states and periodic orbits in an electrochemical system using delayed-feedback control

1999 ◽  
Vol 59 (5) ◽  
pp. 5266-5271 ◽  
Author(s):  
P. Parmananda ◽  
R. Madrigal ◽  
M. Rivera ◽  
L. Nyikos ◽  
I. Z. Kiss ◽  
...  
Keyword(s):  
Feedback Control ◽  
Periodic Orbits ◽  
Delayed Feedback ◽  
Steady States ◽  
Delayed Feedback Control ◽  
Electrochemical System ◽  
Unstable Steady States

Phase-plane analysis of feedback control of unstable steady states in a biological reactor

AIChE Journal ◽  
1978 ◽  
Vol 24 (4) ◽  
pp. 686-693 ◽  
Author(s):  
David Dibiasio ◽  
Henry C. Lim ◽  
William A. Weigand ◽  
George T. Tsao
Keyword(s):  
Feedback Control ◽  
Phase Plane ◽  
Steady States ◽  
Phase Plane Analysis ◽  
Plane Analysis ◽  
Unstable Steady States
Sign in / Sign up

Export Citation Format

Share Document