Socolar, JES, *Time-Delay Control for Discrete Maps*
(May, 2008),
pp. 29-45 [doi] .
**Abstract:**

*This chapter is intended as a pedagogical introduction to discrete time delayed feedback methods. It is neither a comprehensive review, nor a presentation of dramatic new results. It does, on the other hand, organize known results in a self-contained manner that emphasizes the conceptual points that have proven to be important, where much of the original literature focuses on historically important points and rigorous mathematical proofs. The present work also contains examples and one generalization that have not appeared elsewhere. The goal is to provide a conceptual foundation for readers who wonder whether discrete time delay feedback methods are up to the task they have in mind. Since the study of discrete methods foreshadows many (but not all!) of the important questions that arise in studies of continuous versions of delayed feedback control, the present chapter may also serve as a useful prequel to chapters on continuous methods. © 2008 Wiley-VCH Verlag GmbH & Co. KGaA.*