Locating the equilibrium points of a predator–prey model by means of affine state feedback |
| |
| Authors: | Wieslaw Krajewski Umberto Viaro |
| |
| Institution: | aSystems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland;bDepartment of Electrical, Management and Mechanical Engineering, University of Udine, Via delle Scienze 208, 33100 Udine, Italy |
| |
| Abstract: | A predator–prey model with prey-dependent functional response is considered. The set of all points in the positive quadrant of the state plane that can be made equilibrium points by means of an affine state-feedback control law is determined, and the values of the control parameters ensuring the desired equilibria are provided. It is shown how the asymptotic stability of the equilibrium points depends on simple geometric conditions. The problem of stabilizing unstable equilibrium points is also briefly discussed. |
| |
| Keywords: | Predator– prey model State feedback Equilibrium point Stability Stabilization |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
