OUTPUT FEEDBACK CONTROL FOR AN EXPLOITED STRUCTURED MODEL OF A FISHING PROBLEM
| Autor: | Noureddine Elalami, El Houssine El Mazoudi, Mostafa Mrabti |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Lyapunov function
Ecology Automatic control Computer science Applied Mathematics Control (management) Fishing Stability (learning theory) General Medicine Agricultural and Biological Sciences (miscellaneous) Term (time) symbols.namesake Control theory Convergence (routing) symbols Quantitative Biology::Populations and Evolution State (computer science) |
| Zdroj: | Journal of Biological Systems. 16:107-117 |
| ISSN: | 1793-6470 0218-3390 |
| DOI: | 10.1142/s0218339008002447 |
| Popis: | In this paper, the problem of global state regulation via output feedback is investigated to study a structured fishing model, in order to stabilize its states around a non-trivial equilibrium. In our case, the two stages of the juvenile and adults ages of fish population are considered. In order to apply the tools of automatic control to our model, the fishing effort is used as a control term, the age classes as a states and the quantity of captured fish per unit of effort as a measured output. A Lyapunov function is adapted to study the stability and stabilization of the studied system around the non-trivial steady states. Numerical example demonstrates the effectiveness and the convergence of the states to the equilibrium. |
| Databáze: | OpenAIRE |
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