Oscillations in First-Order, Continuous-Time Systems via Time-Delay Feedback
Joint Authors
Alvarez, Joaquín
Salcedo, Abimael
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-18
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A technique to generate (periodic or nonperiodic) oscillations systematically in first-order, continuous-time systems via a nonlinear function of the state, delayed by a certain time d, is proposed.
This technique consists in choosing a nonlinear function of the delayed state with some passivity properties, tuning a gain to ensure that all the equilibrium points of the closed-loop system be unstable, and then imposing conditions on the closed-loop system to be semipassive.
We include several typical examples to illustrate the effectiveness of the proposed technique, with which we can generate a great variety of chaotic attractors.
We also include a physical example built with a simple electronic circuit that, after applying the proposed technique, displays a similar behavior to the logistic map.
American Psychological Association (APA)
Salcedo, Abimael& Alvarez, Joaquín. 2018. Oscillations in First-Order, Continuous-Time Systems via Time-Delay Feedback. Complexity،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1133182
Modern Language Association (MLA)
Salcedo, Abimael& Alvarez, Joaquín. Oscillations in First-Order, Continuous-Time Systems via Time-Delay Feedback. Complexity No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1133182
American Medical Association (AMA)
Salcedo, Abimael& Alvarez, Joaquín. Oscillations in First-Order, Continuous-Time Systems via Time-Delay Feedback. Complexity. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1133182
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133182