Abstract
Scientists have long been attracted to mechanisms surrounding the predator-prey system. The Lotka-Volterra (LV) model is the most popular formalism used to investigate the dynamics of this system. LV equations present non-linear dynamics that exhibit periodic oscillations in both prey and predator populations. In practical situations, it is useful to stabilise the system asymptotically to a desired set point (population) wherein the two species coexist by fashioning specific control actions. This control strategy can be beneficial for problems that can arise when there is a risk of extinction of one of the species and human intervention must be planned. One natural and well-established theory for describing systems obeying energy balance laws is the port-Hamiltonian modeling, an extension of classical Hamiltonian mechanics to systems endowed with control and observation. The LV model can be formally represented as a non-linear mechanical oscillator employing the canonical equations of Hamilton. This special mathematical structure aids planning and designing efficient control actions. The proposed strategy employs a systematic procedure to efficiently plan biological control actions and bypass species extinction through asymptotic stabilisation of populations.
Original language | English |
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Article number | 9099881 |
Pages (from-to) | 964-969 |
Number of pages | 6 |
Journal | IEEE Control Systems Letters |
Volume | 4 |
Issue number | 4 |
Early online date | 26 May 2020 |
DOIs | |
Publication status | Published - Oct 2020 |
Keywords
- biological system modeling
- Nonlinear control systems
- stability analysis
- 22/2 OA procedure