Integral control for population management
详细信息    查看全文
  • 作者:Chris Guiver ; Hartmut Logemann ; Richard Rebarber…
  • 关键词:Integral control ; PI control ; Population ecology ; Conservation ; Management ; 93C55 ; 93D15 ; 93C40 ; 92D25 ; 92D40
  • 刊名:Journal of Mathematical Biology
  • 出版年:2015
  • 出版时间:April 2015
  • 年:2015
  • 卷:70
  • 期:5
  • 页码:1015-1063
  • 全文大小:1,118 KB
  • 参考文献:1. Astolfi A, Karagiannis D, Ortega R (2008) Nonlinear and adaptive control with applications. Communications and Control Engineering Series. Springer, London Ltd., London (ISBN 978-1-84800-065-0)
    2. ?str?m, KJ (1980) Why use adaptive techniques for steering large tankers?. Int J Control 32: pp. 689-708 CrossRef
    3. ?str?m KJ, H?gglund T (1995) PID controllers: theory, design, and tuning. Instrument Society of America, Research Triangle Park, North Carolina
    4. Berman A, Plemmons RJ (1994) Nonnegative matrices in the mathematical sciences, volume 9 of Classics in applied mathematics. Society for Industrial and Applied Mathematics (SIAM), Philadelphia. ISBN 0-89871-321-8. doi:10.1137/1.9781611971262 . URL http://dx.doi.org/10.1137/1.9781611971262
    5. Bieber, C, Ruf, T (2005) Population dynamics in wild boar sus scrofa: ecology, elasticity of growth rate and implications for the management of pulsed resource consumers. J Appl Ecol 42: pp. 1203-1213 CrossRef
    6. Blackwood, J, Hastings, A, Costello, C (2010) Cost-effective management of invasive species using linear-quadratic control. Ecol Econ 69: pp. 519-527 CrossRef
    7. Brenner SC, Scott LR (1994) The mathematical theory of finite element methods, volume 15 of Texts in applied mathematics. Springer, New York (ISBN 0-387-94193-2)
    8. Briggs, J, Dabbs, K, Holm, M, Lubben, J, Rebarber, R, Tenhumberg, B, Riser-Espinoza, D (2010) Structured population dynamics. Math Mag 83: pp. 243-257 CrossRef
    9. Cassandra AR (1998) Exact and approximate algorithms for partially observable Markov decision processes. PhD thesis, Brown University, Department of Computer Science, Providence. Available from: http://cs.brown.edu/research/ai/pomdp/papers/
    10. Caswell H (2001) Matrix population models : construction, analysis, and interpretation. Sinauer Associates, Sunderland
    11. Chadès, I, McDonald-Madden, E, McCarthy, MA, Wintle, B, Linkie, M, Possingham, HP (2008) When to stop managing or surveying cryptic threatened species. Proc Natl Acad Sci 105: pp. 13936-13940 CrossRef
    12. Chadès, I, Martin, TG, Nicol, S, Burgman, MA, Possingham, HP, Buckley, YM (2011) General rules for managing and surveying networks of pests, diseases, and endangered species. Proc Natl Acad Sci 108: pp. 8323-8328 CrossRef
    13. Childs, D, Rees, M, Rose, K, Grubb, P, Ellner, S (2003) Evolution of complex flowering strategies: an age-and size-structured integral projection model. Proc R Soc Lond Ser B Biol Sci 270: pp. 1829-1838 CrossRef
    14. Coughlan J (2007) Absolute stability results for infinite-dimensional discrete-time systems with applications to sampled-data integral control. PhD thesis, University of Bath. Available from: http://people.bath.ac.uk/mashl/research.html
    15. Coughlan JJ, Logemann H (2009) Absolute stability and integral control for infinite-dimensional discrete-time systems. Nonlinear Anal 71(10):4769-789, 2009. ISSN 0362-46X. doi:10.1016/j.na.2009.03.072 . URL http://dx.doi.org/10.1016/j.na.2009.03.072
    16. Crooks, KR, Sanjayan, M, Doak, DF (1998) New insights on cheetah conservation through demographic modeling. Conserv Biol 12: pp. 889-895 CrossRef
    17. Cushing JM (1998) An introduction to structured population dynamics. SIAM, Philadelphia
    18. Davison EJ (1975) Multivariable tuning regulators: the feedforward and robust control of a general servomechanism problem. In Proceedings of the IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes. Institute of Electrical and Electronics Engineers, Houston, pp 180-87
    19. Davison E
  • 刊物类别:Mathematics and Statistics
  • 刊物主题:Mathematics
    Mathematical Biology
    Applications of Mathematics
  • 出版者:Springer Berlin / Heidelberg
  • ISSN:1432-1416
文摘
We present a novel management methodology for restocking a declining population. The strategy uses integral control, a concept ubiquitous in control theory which has not been applied to population dynamics. Integral control is based on dynamic feedback—using measurements of the population to inform management strategies and is robust to model uncertainty, an important consideration for ecological models. We demonstrate from first principles why such an approach to population management is suitable via theory and examples.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700