A switching feedback control approach for persistence of managed resources

Daniel Franco, Christopher Guiver, Phoebe Smith, Stuart Townley

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An adaptive switching feedback control scheme is proposed for classes of discrete-time, positive difference equations, or systems of equations. In overview, the objective is to choose a control strategy which ensures persistence of the state, consequently avoiding zero which corresponds to absence or extinction. A robust feedback control solution is proposed as the effects of different management actions are assumed to be uncertain. Our motivating application is to the conservation of dynamic resources, such as populations, which are naturally positive quantities and where discrete and distinct courses of management actions, or control strategies, are available. The theory is illustrated with examples from population ecology.
Original languageEnglish
Pages (from-to)1765-1787
JournalDiscrete and Continuous Dynamical Systems - Series B
Issue number3
Early online date23 Apr 2021
Publication statusPublished - 31 Mar 2022

Bibliographical note

Funding Information:
Acknowledgments. D. Franco’s contribution to this work was supported by grant MTM2017-85054-C2-2-P (AEI/FEDER, UE), grant 2020-MAT10 of ETSII-UNED, and grant PRX19/00582 of the Ministerio de Educación, Cultura y Deporte (Sub-programa Estatal de Movilidad).


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