Síntese do Controle Linear Aplicado em Sistemas Populacionais

Authors

  • A.B. Schmid
  • M. Rafikov

DOI:

https://doi.org/10.5540/tema.2005.06.01.0153

Abstract

O objetivo deste trabalho é aplicar controle linear em sistemas populacionais que exibem caos para determinados valores dos parâmetros. São analisados dois sistemas: modelo de Lotka-Volterra para duas presas e um predador e modelo tritrófico de cadeia alimentar. A fim de encontrar o controle ótimo que estabiliza os sistemas nos pontos de equilíblio desejados foi aplicada a metodologia proposta por Rafikov e Balthazar. As simulações numéricas, que foram realizadas para os dois sistemas considerados, mostraram a possibilidade de controlá-los, utilizando controle linear.

References

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A. Lotka, “Elements of Physical Biology”, Williams and Wilkins, Baltimore, MD, 1925.

M. Rafikov e J.M.Balthazar, Síntese do controle ótimo linear feedback para sistemas que exibem caos. em “Anais do III Congresso Temático de Dinâmica, Controle e Aplicações”, pp. 619-633, Ilha Solteira, SP, 2004.

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V. Volterra, Variazioni e uttuazioni del numero di individui in specie animali conviventi, Mem. Accad. Lincei, 2 (1926), 31-113. (In Italian).

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Published

2005-06-01

How to Cite

Schmid, A., & Rafikov, M. (2005). Síntese do Controle Linear Aplicado em Sistemas Populacionais. Trends in Computational and Applied Mathematics, 6(1), 153–162. https://doi.org/10.5540/tema.2005.06.01.0153

Issue

Vol. 6 No. 1 (2005)

Section

Original Article

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