Skip to main content

Avoidance control mechanics for food-chain models subject to uncertainties

  • Conference paper
  • First Online:
Mechanics and Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 151))

  • 277 Accesses

Abstract

We consider a general food-chain system subject to uncertain disturbances. A Liapunov design methodology is used to establish control growth policies of qualitative nature aimed to restrict the fluctuations of the size of the chain elements (populations, consumers, resources), hence to facilitate transition from growth (decay) to manageable population levels.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. Bojadziev, Management of food-chain systems via Liapunov design control. Z. für Operations Research (to appear).

    Google Scholar 

  2. G. Bojadziev, J. Skowronski, Controlled food consumption. Methods of Operations Research, vol 49, Hain Verlag bei Athenaum, 499–506 (1985).

    Google Scholar 

  3. G. Bojadziev, Self controlled food-chain model of length four. Proceedings of IASTED International Symposium “Adaptive and Knowledge — Based Control and Signal Processing”, Honolulu, Aug. 16–18, 1989, 11–13.

    Google Scholar 

  4. B.S. Goh, G. Leitmann, T.L. Vincent, Optimal control of a prey-predator system, Math. Biosci. 19, 263–286 (1974).

    Google Scholar 

  5. T.L. Vincent, Pest management programs via optimal control theory, Biometrics 31, 1–10 (1975).

    Google Scholar 

  6. G. Leitmann, J. Skowronski, Avoidance control. J. of Optimiz. Theory Appl. 23, 581–591 (1977).

    Google Scholar 

  7. M. Corless, G. Leitmann, J. Skowronski, Adaptive control for avoidance or evasion in uncertain environment. Comput. Math. Applic. 13, 1–11 (1987).

    Google Scholar 

  8. M. Corlesss, G. Leitmann, Adaptive controllers for avoidance or evasion in an uncertain environment: some examples. Computers Math. Applic. 18, 161–170 (1989).

    Google Scholar 

  9. A. Blaquière, F. Gérard, On the geometry of optimal strategies in two-person games of kind. J. of Computer and System Sciences, 2 (No. 3), 228–304 (1968).

    Google Scholar 

  10. E. Roxin, On generalized dynamical systems defined by a contingent equation. J. Diff. Equations 1, 185–205 (1965).

    Google Scholar 

  11. A.F. Filippov, Classical solutions of differential equations with multi-valued right-hand side. SIAM J. Control 5, 200–231 (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

J. M. Skowronski H. Flashner R. S. Guttalu

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag

About this paper

Cite this paper

Bojadziev, G., Skowronski, J. (1991). Avoidance control mechanics for food-chain models subject to uncertainties. In: Skowronski, J.M., Flashner, H., Guttalu, R.S. (eds) Mechanics and Control. Lecture Notes in Control and Information Sciences, vol 151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006717

Download citation

  • DOI: https://doi.org/10.1007/BFb0006717

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53517-1

  • Online ISBN: 978-3-540-46752-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics