We apologize for a recent technical issue with our email system, which temporarily affected account activations. Accounts have now been activated. Authors may proceed with paper submissions. PhDFocusTM
CFP last date
20 November 2024
Call for Paper
December Edition
IJCA solicits high quality original research papers for the upcoming December edition of the journal. The last date of research paper submission is 20 November 2024

Submit your paper
Know more
Reseach Article

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

by Souad Najoua Lagmiri, El Houssine El Mazoudi, Nouredinne Elalami
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
  1. M. Mamat, W. S Mada Sanjaya, Z. Salleh, M. F Ahmad, "NUMERICAL SIMULATION DYNAMICAL MODEL OF THREE-SPECIES FOOD CHAIN WITH LOTKA-VOLTERRA LINEAR FUNCTIONAL RESPONSE ", Journal of Sustainability Science and Management Volume 6 Number 1, June 2011: 44-50.
  2. Lpez, I. , Gmez, M. , Varga, Z. , 2008. "Observer design for phenotypic observation of genetic processes". Nonlinear Analysis: Real World Applications 9, 270302.
  3. G. Zeng, I. Chlamtac, Y. Su, "Nonlinear observers for two classes of perturbed systems", Comput. Math. Appl. 48 (2004) 387398.
  4. Juan L. Mata-Machuca, Rafael Martnez-Guerra , " Asymptotic synchronization of the Colpitts oscillator", Computers and Mathematics with Applications 63 (2012) 10721078.
  5. J. L. Mata-Machuca, R. Martnez-Guerra, R. A. Lpez. "Monitoring in a predatorprey systems via a class of high order observer design". BioSystems 100 (2010) 6569.
  6. Varga, Z. , Scarelli, A. , Shamandy, A. , 2003. "State monitoring of a population systemin changing environment". Community Ecology 4, 7378.
  7. S. Vaidyanathan. "Nonlinear observer design for l-v system". Health Informatics - An International Journal (HIIJ) Vol. 1, No. 1, August 2012.
  8. H. El Mazoudi,M. Mrabti,N. Elalami, "Observer design for a fish population model". Numro spcial CARI'06 Volume 8 - 2008.
  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.