Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances
This paper investigates the dynamic properties of a differential equation model of mammals’ circadian rhythms, including parameter identification, adaptive control, and outer synchronization. The circadian oscillator network is described by a Goodwin oscillator network, the couplings of which are fr...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/6483078 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558728549761024 |
|---|---|
| author | Jianbao Zhang Wenyin Zhang Chengdong Yang Haifeng Wang Jianlong Qiu Fawaz Alsaadi |
| author_facet | Jianbao Zhang Wenyin Zhang Chengdong Yang Haifeng Wang Jianlong Qiu Fawaz Alsaadi |
| author_sort | Jianbao Zhang |
| collection | DOAJ |
| description | This paper investigates the dynamic properties of a differential equation model of mammals’ circadian rhythms, including parameter identification, adaptive control, and outer synchronization. The circadian oscillator network is described by a Goodwin oscillator network, the couplings of which are from vasoactive intestinal polypeptides described by modified Van der Pol oscillators. We build up a drive-response system consisting of two networks with unknown parameters and disturbances. Then, we propose effective parameter updating laws to identify the unknown parameters and design adaptive control strategies to achieve outer synchronization in the drive-response system. As special cases, two succinct corollaries are presented for different instances. All the theoretical results are proved through strict mathematical deduction based on Lyapunov stability theory, and a numerical example is also carried out to illustrate the effectiveness. |
| format | Article |
| id | doaj-art-67238938eadc4810bd4df402c6d67715 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-67238938eadc4810bd4df402c6d677152025-02-03T01:31:37ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/64830786483078Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with DisturbancesJianbao Zhang0Wenyin Zhang1Chengdong Yang2Haifeng Wang3Jianlong Qiu4Fawaz Alsaadi5School of Information Science and Engineering, Linyi University, Linyi 276005, ChinaSchool of Information Science and Engineering, Linyi University, Linyi 276005, ChinaSchool of Information Science and Engineering, Linyi University, Linyi 276005, ChinaSchool of Information Science and Engineering, Linyi University, Linyi 276005, ChinaKey Laboratory of Complex Systems and Intelligent Computing in Universities of Shandong (Linyi University), Linyi 276005, ChinaDepartment of Information Technology, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThis paper investigates the dynamic properties of a differential equation model of mammals’ circadian rhythms, including parameter identification, adaptive control, and outer synchronization. The circadian oscillator network is described by a Goodwin oscillator network, the couplings of which are from vasoactive intestinal polypeptides described by modified Van der Pol oscillators. We build up a drive-response system consisting of two networks with unknown parameters and disturbances. Then, we propose effective parameter updating laws to identify the unknown parameters and design adaptive control strategies to achieve outer synchronization in the drive-response system. As special cases, two succinct corollaries are presented for different instances. All the theoretical results are proved through strict mathematical deduction based on Lyapunov stability theory, and a numerical example is also carried out to illustrate the effectiveness.http://dx.doi.org/10.1155/2018/6483078 |
| spellingShingle | Jianbao Zhang Wenyin Zhang Chengdong Yang Haifeng Wang Jianlong Qiu Fawaz Alsaadi Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances Complexity |
| title | Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances |
| title_full | Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances |
| title_fullStr | Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances |
| title_full_unstemmed | Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances |
| title_short | Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances |
| title_sort | parameter identification and adaptive control of uncertain goodwin oscillator networks with disturbances |
| url | http://dx.doi.org/10.1155/2018/6483078 |
| work_keys_str_mv | AT jianbaozhang parameteridentificationandadaptivecontrolofuncertaingoodwinoscillatornetworkswithdisturbances AT wenyinzhang parameteridentificationandadaptivecontrolofuncertaingoodwinoscillatornetworkswithdisturbances AT chengdongyang parameteridentificationandadaptivecontrolofuncertaingoodwinoscillatornetworkswithdisturbances AT haifengwang parameteridentificationandadaptivecontrolofuncertaingoodwinoscillatornetworkswithdisturbances AT jianlongqiu parameteridentificationandadaptivecontrolofuncertaingoodwinoscillatornetworkswithdisturbances AT fawazalsaadi parameteridentificationandadaptivecontrolofuncertaingoodwinoscillatornetworkswithdisturbances |