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“Performance evaluation of positive regulators for population control”

Authors: Simona Muratori, Sergio Rinaldi and Bruno Trinchera,
Affiliation: Politecnico di Milano (Italy)
Reference: 1989, Vol 10, No 3, pp. 125-134.

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Keywords: Pole assignment, industrial regulators, Leslie systems, population control, simulation

Abstract: This paper deals with real time control of age-structured populations described by Leslie models with positive inputs. The classical industrial and pole-assignment regulators are adapted to this class of positive systems and their performance is evaluated through simulation. The influence of noise on cost and robustness of the controlled system and the role of the information structure are discussed in some detail.

PDF PDF (637 Kb)        DOI: 10.4173/mic.1989.3.1



DOI forward links to this article:
  [1] L. Benvenuti and L. Farina (2004), doi:10.1109/TAC.2004.826715
  [2] Simona Muratori and Sergio Rinaldi (1991), doi:10.1016/0096-3003(91)90069-Y
  [3] O.L.R. Jacobs, D.J. Ballance and J.W. Horwood (1991), doi:10.1016/0005-1098(91)90054-6
  [4] S. Muratori and S. Rinaldi (1990), doi:10.1109/9.58539
  [5] Roberto Guidorzi (2014), doi:10.1109/ECC.2014.6862488
  [6] Roberto Guidorzi (2016), doi:10.1016/j.automatica.2016.04.024
  [7] O. L. R. Jacobs (1991), doi:10.1007/BFb0003823


References:
[1] GINZBURG, L.R., JOHNSON, K., PUGLIESE, A. GLADDEN, J. (1984). Ecological risk assessment based on stochastic age structured models of population growth, In Statistics in the Environmental Sciences.S.M. Gertz and M.D. London, Eds., American Society for Testing and Materials, STP 845, pp. 31-45.
[2] LESLIE, P.H. (1945). On the use of matrices in certain population mathematics, Biometrika, 33, 183-212 doi:10.1093/biomet/33.3.183
[3] LUENBERGER, D.G. (1969). Introduction to Dynamic Systems, New York: John Wiley.
[4] MURATORI, S. RINALDI, S. (1987). Equilibria, stability, and reachability of Leslie systems with positive inputs, Report n. 87-040, Department of Electronics, Politecnico di Milano, Milano, Italy.
[5] MURATORI, S. RINALDI, S. (1988). Stability of controlled age structured populations, In Advances in Environmental Modelling.A. Marani Ed., pp. 195-204, Elsevier, Amsterdam.
[6] OŽNEIL, R.V., GARDNER, R.H., CHRISTENSEN, S.W., VAN WINKLE, W., CARNEY, J.H. MANKIN, J.B. (1981). Some effects of parameter uncertainty in density-independent and density-dependent Leslie models for fish populations, Canadian Journal of Fisheries and Aquatic Sciences, 38, 91-100.
[7] SYKES, Z.M. (1969). On discrete stable population theory, Biometrics, 25, 285-293 doi:10.2307/2528789


BibTeX:
@article{MIC-1989-3-1,
  title={{Performance evaluation of positive regulators for population control}},
  author={Muratori, Simona and Rinaldi, Sergio and Trinchera, Bruno},
  journal={Modeling, Identification and Control},
  volume={10},
  number={3},
  pages={125--134},
  year={1989},
  doi={10.4173/mic.1989.3.1},
  publisher={Norwegian Society of Automatic Control}
};

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