1. Optimal Control and Stabilization for Some Fisher-Like Models
- Author
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Ana-Maria Moşneagu and Viorel Arnăutu
- Subjects
Control and Optimization ,Iterative method ,Numerical analysis ,Null (mathematics) ,Zero (complex analysis) ,Optimal control ,Computer Science Applications ,Term (time) ,Control theory ,Position (vector) ,Signal Processing ,Analysis ,Descent (mathematics) ,Mathematics - Abstract
This article concerns optimal control and stabilization for some Fisher-like models with control acting in a subdomain ω. We investigate the optimal position of ω for some optimal harvesting problems. First, we refer to a logistic model with diffusion. We remember the necessary optimality conditions, and then obtain an iterative method to improve the position of ω for the optimal harvesting effort (for a simplified model without logistic term). Next, we consider the null stabilization for a controlled Fisher model and obtain a descent method to improve the position of ω in order to get a faster stabilization to zero. Numerical tests illustrating the effect of the last method are given. We also studied the null stabilization for a prey-predator system and have reduced it to the study of the null stabilizability for a related Fisher model.
- Published
- 2015