Finite-Dimensional Hybrid Observer for Delayed Impulsive Model of Testosterone Regulation
Joint Authors
Yamalova, Diana
Churilov, Alexander
Medvedev, Alexander
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The paper deals with the model-based estimation of hormone concentrations that are inaccessible for direct measurement in the blood stream.
Previous research demonstrated that the dynamics of nonbasal endocrine regulation can be closely captured by linear continuous models with time delays under a pulse-modulated feedback.
The presence of continuous time delays is inevitable in such a model due to transport phenomena and the time necessary for an endocrine gland to produce a certain hormone quantity.
Yet, thanks to the finite-dimensional reducibility of the linear time-delay part of the system, a finite-dimensional model can be used to reconstruct both the continuous and discrete states of the hybrid time-delay plant.
A hybrid observer exploiting this possibility is suggested and analyzed by means of a discrete impulse-to-impulse mapping.
American Psychological Association (APA)
Yamalova, Diana& Churilov, Alexander& Medvedev, Alexander. 2015. Finite-Dimensional Hybrid Observer for Delayed Impulsive Model of Testosterone Regulation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1073172
Modern Language Association (MLA)
Yamalova, Diana…[et al.]. Finite-Dimensional Hybrid Observer for Delayed Impulsive Model of Testosterone Regulation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1073172
American Medical Association (AMA)
Yamalova, Diana& Churilov, Alexander& Medvedev, Alexander. Finite-Dimensional Hybrid Observer for Delayed Impulsive Model of Testosterone Regulation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1073172
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073172