Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances
Joint Authors
Zhang, Wenyin
Yang, Cheng-Dong
Wang, Haifeng
Alsaadi, Fawaz
Zhang, Jianbao
Qiu, Jianlong
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-21
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhang, Jianbao& Zhang, Wenyin& Yang, Cheng-Dong& Wang, Haifeng& Qiu, Jianlong& Alsaadi, Fawaz. 2018. Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances. Complexity،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1135407
Modern Language Association (MLA)
Zhang, Jianbao…[et al.]. Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances. Complexity No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1135407
American Medical Association (AMA)
Zhang, Jianbao& Zhang, Wenyin& Yang, Cheng-Dong& Wang, Haifeng& Qiu, Jianlong& Alsaadi, Fawaz. Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances. Complexity. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1135407
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1135407