publisher:10.1016/j.automatica.2022.110487
Sliding modes in the management of renewable resources
Contact
thorsten.upmann [ at ] hifmb.de
Abstract
The presence of tipping points in ecological systems implies abrupt changes in the dynamics of the ecosystem. In these piecewise-smooth dynamical systems sliding dynamics, i.e., dynamics on the switching boundary, have been reported for population models. However, the question whether or not, and if so under which conditions, sliding dynamics may occur in an optimally controlled system have not yet been studied. We explore this issue in a simple harvesting model with two regimes, and find that optimal sliding may occur if regular steady states do not exist. Hence, sliding dynamics may be part of an optimal policy.
Item Type
Article
Authors
Divisions
Primary Division
Organizations > AWI Organizations > Institutes > HIFMB: Helmholtz Institute for Functional Marine Biodiversity
Programs
Helmholtz Research Programs > CHANGING EARTH (2021-2027) > PT6:Marine and Polar Life: Sustaining Biodiversity, Biotic Interactions, Biogeochemical Functions > ST6.1: Future ecosystem functionality
Primary Topic
Helmholtz Programs > Helmholtz Research Programs > CHANGING EARTH (2021-2027) > PT6:Marine and Polar Life: Sustaining Biodiversity, Biotic Interactions, Biogeochemical Functions
Publication Status
Published
Eprint ID
58082
DOI
10.1016/j.automatica.2022.110487
Cite as
Bondarev, A.
and
Upmann, T.
(2022):
Sliding modes in the management of renewable resources
,
Automatica,
144
,
p. 110487
.
doi: 10.1016/j.automatica.2022.110487
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