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Stability and optimal exploitation over an infinite time horizon of interacting populations
Author(s) -
Haurie A.
Publication year - 1982
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660030303
Subject(s) - optimal control , stability (learning theory) , horizon , class (philosophy) , property (philosophy) , time horizon , mathematical optimization , state (computer science) , mathematics , control (management) , control theory (sociology) , mathematical economics , computer science , artificial intelligence , algorithm , philosophy , geometry , epistemology , machine learning
Models of optimal control of two‐species ecological systems are considered on an infinite time horizon. Conditions are obtained under which the optimal exploitation of the system is stabilizing. Thus, a stationary state toward which all optimal trajectories must converge is defined. This extends to this class of models, the co‐called turnpike property of optimal economic growth models.