Title :
Stability for homogeneous cooperative systems
Author :
Aeyels, Dirk ; De Leenheer, Patrick
Author_Institution :
Gent Univ., Belgium
Abstract :
Deals with a particular class of positive systems. It is shown that for this class the first orthant contains at least one invariant ray in its interior. Sufficient conditions for uniqueness of this ray are given. The main result states that the vector field on this ray determines the stability properties of the zero solution with respect to initial conditions in the first orthant. We compare our results to the Perron-Frobenius Theorem
Keywords :
set theory; stability; vectors; Perron-Frobenius Theorem; first orthant; homogeneous cooperative systems; initial conditions; invariant ray; positive systems; stability properties; sufficient uniqueness conditions; zero solution; Cooperative systems; Hydrogen; Stability; Sufficient conditions;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.833385
