A switching feedback control approach for persistence of managed resources

Daniel Franco; Christopher Guiver; Phoebe Smith; Stuart Townley

doi:10.3934/dcdsb.2021109

A switching feedback control approach for persistence of managed resources

Daniel Franco, Christopher Guiver, Phoebe Smith, Stuart Townley

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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Abstract

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 language	English
Pages (from-to)	1765-1787
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	27
Issue number	3
Early online date	23 Apr 2021
DOIs	https://doi.org/10.3934/dcdsb.2021109
Publication status	Published - 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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10.3934/dcdsb.2021109

Smith_et_al_accepted_switching
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems Series B following peer review. The definitive publisher-authenticated version Franco, D, Guiver, C, Smith, P & Townley, S 2021, 'A switching feedback control approach for persistence of managed resources', Discrete and Continuous Dynamical Systems - Series B. https://doi.org/10.3934/dcdsb.2021109 is available online at: https://www.aimsciences.org/article/doi/10.3934/dcdsb.2021109
Accepted author manuscript, 939 KBLicence: Unspecified

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A switching feedback control approach for persistence of managed resources

Abstract

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