Generic stabilizability for time-delayed feedback control.

ABSTRACT: Time-delayed feedback control is one of the most successful methods to discover dynamically unstable features of a dynamical system in an experiment. This approach feeds back only terms that depend on the difference between the current output and the output from a fixed time T ago. Thus, any periodic orbit of period T in the feedback-controlled system is also a periodic orbit of the uncontrolled system, independent of any modelling assumptions. It has been an open problem whether this approach can be successful in general, that is, under genericity conditions similar to those in linear control theory (controllability), or if there are fundamental restrictions to time-delayed feedback control. We show that, in principle, there are no restrictions. This paper proves the followi

SUBMITTER: Sieber J 

PROVIDER: S-EPMC4893174 | biostudies-literature | 2016 May

REPOSITORIES: biostudies-literature