Abstract
A general food-chain system involving control is considered. A Liapunov design methodology is used to establish a control growth policy of qualitative nature, aimed to restrict the fluctuations of the size of the chain elements (populations, consumers, resources). The policy is based on the concept of avoidance control.
Similar content being viewed by others
References
Blaquire A, Gérard F (1968) On the geometry of optimal strategies in two-person games of kind. J Computer and System Sci 2(3):228–304
Bojadziev G (1988) Self controlled growth policy for a food chain system. Lecture Notes in Control and Information Sciences. Springer, Berlin 121:437–442
Bojadziev G, Skowronski J (1985) Controlled food consumption. Methods of Operations Research. Hain Verl, Athenaum 49:499–506
Filippov AF (1967) Classical solutions of differential equations with multi-valued right-hand side. SIAM J Control 5:200–231
Goh BS, Leitmann G, Vincent TL (1974) Optimal control of a prey-predator system. Mathematical Biosciences 19:263–286
Leitmann G, Skowronski J (1977) Avoidance control. J Optimiz Theory Appl 23:581–591
Peschel M, Mende W (1986) The Predator-Prey model. Springer, Wien New York, 251 p
Roxin E (1965) On generalized dynamical systems defined by a contingent equation. J Diff Equations 1:185–205
Vincent TL (1975) Pest management programs via optimal control theory. Biometrics 31:1–10
Author information
Authors and Affiliations
Additional information
Invited talk at 14 Symposium on Operations Research, Ulm, September 1989.
Rights and permissions
About this article
Cite this article
Bojadziev, G. Management of food-chain systems via Liapunov design control. ZOR - Methods and Models of Operations Research 35, 365–375 (1991). https://doi.org/10.1007/BF01498328
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01498328