Research Output
A switching feedback control approach for persistence of managed resources
  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.

  • Type:


  • Date:

    30 April 2021

  • Publication Status:


  • DOI:


  • ISSN:


  • Funders:

    Edinburgh Napier Funded


Franco, D., Guiver, C., Smith, P., & Townley, S. (2022). A switching feedback control approach for persistence of managed resources. Discrete and Continuous Dynamical Systems - Series B, 27(3), 1765-1787.



Conservation, feedback control, mathematical ecology, resource management, positive system, simple adaptive control

Monthly Views:

Available Documents