A Lyapunov Approach To The Stabilization Of
A Harvested Fish Population Model
 

El Houssine El Mazoudi^1*, Noureddine Elalami², Mostafa Mrabti¹

This study describes the results of an application of control engineering methodology to the problems of regulating fisheries. By employing a well-known lyapunov approach, we develop a technique for designing a state feedback control law which stabilizes the system. The continuous age-structured model is considered. The fishing effort is taken as a control term the age classes as a states and the total caught as a measured output. we interest in the design of a fishing strategy by constructing a linear feedback control law which can be extended to an output static feedback that permits to stabilize the studied system around a nontrivial steady state. A sufficient condition for stabilization via Lyapunov function is given. Numerical examples are indicated.