Title :
Global stabilization of n-dimensional population models by a positive control
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Sophia-Antipolis, France
Abstract :
Considers the n-dimensional Lotka-Volterra differential system, describing the interactions between n species and the individual growth rates of each species. The author supposes that there is a single positive control on these growth (or death) rates. The author obtains in some cases a global stabilizing feedback around a reference equilibrium, that keeps the control positive
Keywords :
Volterra equations; ecology; feedback; stability; global stabilizing feedback; individual growth rates; n-dimensional Lotka-Volterra differential system; n-dimensional population models; positive control; species interactions; Biological system modeling; Control systems; Cooperative systems; Equations; Feedback; Lyapunov method; Stability; Temperature dependence; Urban pollution;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411134