Title :
Accessibility properties of controlled Lotka-Volterra systems
Author :
De Leenheer, Patrick ; Aeyels, Dirk
Author_Institution :
SYSTeMS, Ghent Univ., Belgium
Abstract :
Although the dynamical behavior of Lotka-Volterra systems has been studied thoroughly, there exist few results on control related aspects for these systems. We introduce controlled Lotka-Volterra systems and deal with their accessibility properties. Accessibility can be seen as a first step towards controllability. In particular both a necessary condition and a sufficient condition are proposed. Both conditions amount to checking the rank of a particular matrix
Keywords :
controllability; differential equations; matrix algebra; time-varying systems; accessibility properties; controlled Lotka-Volterra systems; necessary condition; sufficient condition; Chemicals; Control systems; Controllability; Differential equations; Paper technology; Recurrent neural networks; Stability; Sufficient conditions;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912336
