Controlling hopf bifurcations: Discrete-time systems
Bifurcation control has attracted increasing attention in recent years. A simple and unified state-feedback methodology is developed in this paper for Hopf bifurcation control for discrete-time systems. The control task can be either shifting an existing Hopf bifurcation or creating a new Hopf bifur...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1026022600000364 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550611422281728 |
|---|---|
| author | Guanrong Chen Jin-quing Fang Yiguang Hong Huashu Qin |
| author_facet | Guanrong Chen Jin-quing Fang Yiguang Hong Huashu Qin |
| author_sort | Guanrong Chen |
| collection | DOAJ |
| description | Bifurcation control has attracted increasing attention in recent years. A simple and unified state-feedback methodology is developed in this paper for Hopf bifurcation control for discrete-time systems. The control task can be either shifting an existing Hopf bifurcation or creating a new Hopf bifurcation. Some computer simulations are included to illustrate the methodology and to verify the theoretical results. |
| format | Article |
| id | doaj-art-352cd732c9fd4c7c9bbe246923e68a4f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-352cd732c9fd4c7c9bbe246923e68a4f2025-02-03T06:06:17ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-0151293310.1155/S1026022600000364Controlling hopf bifurcations: Discrete-time systemsGuanrong Chen0Jin-quing Fang1Yiguang Hong2Huashu Qin3Department of Electrical and Computer Engineering, University of Houston, Houston, TX 77204, USAChina Institute of Atomic Energy, P.O. Box 275-27, Beijing 102413, Chinalnstitute of Systems Science, Academia Sinica, Beijing 100080, Chinalnstitute of Systems Science, Academia Sinica, Beijing 100080, ChinaBifurcation control has attracted increasing attention in recent years. A simple and unified state-feedback methodology is developed in this paper for Hopf bifurcation control for discrete-time systems. The control task can be either shifting an existing Hopf bifurcation or creating a new Hopf bifurcation. Some computer simulations are included to illustrate the methodology and to verify the theoretical results.http://dx.doi.org/10.1155/S1026022600000364Feedback controlHopf bifurcationLimit cyclePeriod-doubling bifurcationStability. |
| spellingShingle | Guanrong Chen Jin-quing Fang Yiguang Hong Huashu Qin Controlling hopf bifurcations: Discrete-time systems Discrete Dynamics in Nature and Society Feedback control Hopf bifurcation Limit cycle Period-doubling bifurcation Stability. |
| title | Controlling hopf bifurcations: Discrete-time systems |
| title_full | Controlling hopf bifurcations: Discrete-time systems |
| title_fullStr | Controlling hopf bifurcations: Discrete-time systems |
| title_full_unstemmed | Controlling hopf bifurcations: Discrete-time systems |
| title_short | Controlling hopf bifurcations: Discrete-time systems |
| title_sort | controlling hopf bifurcations discrete time systems |
| topic | Feedback control Hopf bifurcation Limit cycle Period-doubling bifurcation Stability. |
| url | http://dx.doi.org/10.1155/S1026022600000364 |
| work_keys_str_mv | AT guanrongchen controllinghopfbifurcationsdiscretetimesystems AT jinquingfang controllinghopfbifurcationsdiscretetimesystems AT yiguanghong controllinghopfbifurcationsdiscretetimesystems AT huashuqin controllinghopfbifurcationsdiscretetimesystems |