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Control of Lotka-Volterra Three Species System via a High Gain Observer Design

by Souad Najoua Lagmiri, El Houssine El Mazoudi, Nouredinne Elalami
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 77 - Number 15
Year of Publication: 2013
Authors: Souad Najoua Lagmiri, El Houssine El Mazoudi, Nouredinne Elalami
10.5120/13556-1378

Souad Najoua Lagmiri, El Houssine El Mazoudi, Nouredinne Elalami . Control of Lotka-Volterra Three Species System via a High Gain Observer Design. International Journal of Computer Applications. 77, 15 ( September 2013), 1-6. DOI=10.5120/13556-1378

@article{ 10.5120/13556-1378,
author = { Souad Najoua Lagmiri, El Houssine El Mazoudi, Nouredinne Elalami },
title = { Control of Lotka-Volterra Three Species System via a High Gain Observer Design },
journal = { International Journal of Computer Applications },
issue_date = { September 2013 },
volume = { 77 },
number = { 15 },
month = { September },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume77/number15/13556-1378/ },
doi = { 10.5120/13556-1378 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:48:52.320158+05:30
%A Souad Najoua Lagmiri
%A El Houssine El Mazoudi
%A Nouredinne Elalami
%T Control of Lotka-Volterra Three Species System via a High Gain Observer Design
%J International Journal of Computer Applications
%@ 0975-8887
%V 77
%N 15
%P 1-6
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents the role of the nonlinear observer to estimate the state variable for the continous lotka-volterra system. A theoretical frame is provided in order to show the convergence characteristics of the proposed observer under some satisfied assumptions. The proposed methodology is applied to a class of Lotka-Volterra systems with three species. Numerical simulations are shown to validate and demonstrate the effectiveness of the proposed high gain observer.

References
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  2. Lpez, I. , Gmez, M. , Varga, Z. , 2008. "Observer design for phenotypic observation of genetic processes". Nonlinear Analysis: Real World Applications 9, 270302.
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  9. V. Sundarapandian, "Nonlinear observers design for a general class of nonlinear systems with real parametric uncertainty", Comput. Math. Appl. 49 (2005) 11951211.
  10. Dr. V. Sundarapandian, "Exponential Observers for Lotka- Volterra Systems". International Journal on Computer Science and Engineering (IJCSE). Vol. 3 No. 3 Mar 2011.
  11. S. S. Lagmiri, H. El Mazoudi,N. Elalami," High gain observer for Lotka Volterra system", International conference "Days of Numerical Analysis and Optimization: JANO10-October 2013", Essaouira, Morocco.
  12. Lpez, I. , Gmez, M. , Varga, Z. , 2005. "Equilibrium, observability and controllability in selection-mutation models". BioSystems 81, 6575. 6
Index Terms

Computer Science
Information Sciences

Keywords

Dynamic System Lotka-Volterra Model Hight Gain Observer Design.

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