Controle ótimo de Pragas: Modelos Linearizados, Funcional Quadrático

Authors

  • A.M. Tusset
  • M. Rafikov

DOI:

https://doi.org/10.5540/tema.2004.05.01.0145

Abstract

O problema do controle ótimo de pragas com base no modelo presapredador generalizado foi considerado neste trabalho. A linearização do modelo considerado permitiu reduzir o problema formulado ao problema de síntese de controle para sistemas lineares com o funcional quadrático. Foram encontradas as fórmulas que relacionam os parâmetros do processo de transição do sistema com os coeficientes de peso do funcional. A aplicação dos algoritmos propostos para os modelos de Lotka-Volterra com competição entre presas e presa-predador do tipo Holling mostrou a eficiência das estratégias do controle que estabeleceram os sistemas no nível desejado abaixo de danos econômicos.

References

[1] N. Athans, P. Falb, “P. Optimal Control: an Introduction to the Theory and its Aplications”, McGraw-Hill, New York, 1966.

P. De Bach, “P. Optimal Control: an Introduction to the Theory and its Aplications”, Cambrige University Press, Cambrige, 1974.

G. Edelstein, Keshet, “Mathematical Models in Biology”, Random House, 1988.

C. Feltrin e M. Rafikov, Aplicação da Função de Lyapunov num Problema de Controle ótimo, em “Seleta do XXII CNMAC”, Tendências em Matemática Aplicada e Computacional, Vol. 1, pp. 83-92, SBMAC, 2002.

A.N. Kolmogorov, Sulla teoria di Volterra della lotta er l’esistenza, G. Inst. Ital. Attuari., 7 (1936), 74-80.

K. Ogata, “Engenharia do controle moderno”, Addison Wesley, 1995.

M. Rafikov e C.C. Feltrin, Otimização do controle de pragas: método de funções de Lyapunov, em “Proceedings do Congresso Latino Americano de Biomatemática, X ALAB - V ELAEM”, pp. 71-80, IMECC-UNICAMP, 2001.

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Published

2004-06-01

How to Cite

Tusset, A., & Rafikov, M. (2004). Controle ótimo de Pragas: Modelos Linearizados, Funcional Quadrático. Trends in Computational and Applied Mathematics, 5(1), 145–154. https://doi.org/10.5540/tema.2004.05.01.0145

Issue

Vol. 5 No. 1 (2004)

Section

Original Article

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