Estabilizacíon del modelo poblacional de may a través de controles direccionales

The May population model consider a satiate parameter over the predators andhas an unstable equilibrium state surrounded by a limit cycle. This work gives acontrol strategy driven to disturb the model in such way that the equilibrium statebecome locally asymptotically stable. The way to perform this...

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Main Author: Delgado Andrade, Víctor
Format: Artículo
Language: Español
Published: 2015
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/202
http://hdl.handle.net/10669/12842
Summary: The May population model consider a satiate parameter over the predators andhas an unstable equilibrium state surrounded by a limit cycle. This work gives acontrol strategy driven to disturb the model in such way that the equilibrium statebecome locally asymptotically stable. The way to perform this objective is to considera directional feedback control over the linearization of the model.Keywords:  stability, linearization, directional feedback control, linearly equivalent systems.