Output feedback parameter estimation for a HIV model with mutants

Seok Kyoon Kim, Choon Nyeon Kim, Tae Woong Yoon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The human immunodeficiency virus (HIV) causes acquired immune deficiency syndrome (AIDS). The process of infection and mutation by HIV can be described by 3rd order ordinary differential equations [1-2]. For this model of HIV that includes the dynamics of the mutant virus, we present an output feedback parameter estimation algorithm by using two state variables out of the three. We first consider a standard parameter estimator [6] for the case where all states are available. We then substitute the estimated variable for the unavailable state in this state feedback estimator, leading to the proposed output feedback estimation algorithm. The resulting estimator is shown to be ultimately bounded under some conditions, and the effectiveness of the parameter estimator is demonstrated by computer simulations. In addition, the estimated parameters are used to analyze the equilibrium points of the HIV model, and the results are shown to be consistent with those obtained previously [7].

Original languageEnglish
Title of host publicationProceedings of the IASTED International Conference on Modelling, Identification and Control
Pages399-405
Number of pages7
DOIs
Publication statusPublished - 2011 Jun 13
Event31st IASTED International Conference on Modelling, Identification, and Control, MIC 2011 - Innsbruck, Austria
Duration: 2011 Feb 142011 Feb 16

Other

Other31st IASTED International Conference on Modelling, Identification, and Control, MIC 2011
CountryAustria
CityInnsbruck
Period11/2/1411/2/16

Fingerprint

Output Feedback
Viruses
Mutant
Parameter estimation
Virus
Parameter Estimation
Feedback
Estimator
Estimation Algorithms
Model
Substitute
State feedback
State Feedback
Equilibrium Point
Ordinary differential equations
Infection
Mutation
Ordinary differential equation
Computer Simulation
Human

Keywords

  • Hiv model with mutants
  • Parameter estimation
  • Ultimate boundedness

ASJC Scopus subject areas

  • Computer Science Applications
  • Software
  • Modelling and Simulation

Cite this

Kim, S. K., Kim, C. N., & Yoon, T. W. (2011). Output feedback parameter estimation for a HIV model with mutants. In Proceedings of the IASTED International Conference on Modelling, Identification and Control (pp. 399-405) https://doi.org/10.2316/P.2011.718-098

Output feedback parameter estimation for a HIV model with mutants. / Kim, Seok Kyoon; Kim, Choon Nyeon; Yoon, Tae Woong.

Proceedings of the IASTED International Conference on Modelling, Identification and Control. 2011. p. 399-405.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kim, SK, Kim, CN & Yoon, TW 2011, Output feedback parameter estimation for a HIV model with mutants. in Proceedings of the IASTED International Conference on Modelling, Identification and Control. pp. 399-405, 31st IASTED International Conference on Modelling, Identification, and Control, MIC 2011, Innsbruck, Austria, 11/2/14. https://doi.org/10.2316/P.2011.718-098
Kim SK, Kim CN, Yoon TW. Output feedback parameter estimation for a HIV model with mutants. In Proceedings of the IASTED International Conference on Modelling, Identification and Control. 2011. p. 399-405 https://doi.org/10.2316/P.2011.718-098
Kim, Seok Kyoon ; Kim, Choon Nyeon ; Yoon, Tae Woong. / Output feedback parameter estimation for a HIV model with mutants. Proceedings of the IASTED International Conference on Modelling, Identification and Control. 2011. pp. 399-405
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