Abstract
As discussed in the last section, stabilization is not possible with symmetric feedback matrices (κ = 0). This case, however, is important for experiments as it corresponds to the situation, where one measures a variable and applies the control signal to the dynamical equation of the same variable. We will now discuss a method to overcome this problem, i.e., to stabilize the UPO with symmetric feedback matrices.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
V. Flunkert, E. Schöll, Towards easier realization of time-delayed feedback control of odd-number orbits. Phys. Rev. E (2011, in press)
T. Dahms, P. Hövel, E. Schöll, Stabilizing continuous-wave output in semiconductor lasers by time-delayed feedback. Phys. Rev. E 78, 056213 (2008)
P. Hövel, J.E.S Socolar, Stability domains for time-delay feedback control with latency. Phys. Rev. E 68, 036206 (2003)
P. Hövel, E. Schöll, Control of unstable steady states by time-delayed feedback methods. Phys. Rev. E 72, 046203 (2005)
S. Schikora, P. Hövel, H.J Wünsche, E. Schöll, F. Henneberger, All-optical noninvasive control of unstable steady states in a semiconductor laser. Phys. Rev. Lett. 97, 213902 (2006)
T. Dahms, P. Hövel, E. Schöll, Control of unstable steady states by extended time-delayed feedback. Phys. Rev. E 76, 056201 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Flunkert, V. (2011). Stabilization with Symmetric Feedback Matrices. In: Delay-Coupled Complex Systems. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20250-6_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-20250-6_6
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-20249-0
Online ISBN: 978-3-642-20250-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)