Title :
A note on Monotone Systems with Positive Translation Invariance
Author :
Angeli, David ; Sontag, Eduardo D.
Author_Institution :
Dipt. di Sistemi e Informatica, Firenze Univ., Florence
Abstract :
We show that strongly monotone systems of ordinary differential equations which have a certain translation-invariance property are so that all solutions converge to a unique equilibrium. The result may be seen as a dual of a well-known theorem of Mierczynski for systems that satisfy a conservation law. An application to a reaction of interest in biochemistry is provided as an illustration
Keywords :
convergence; differential equations; invariance; nonlinear dynamical systems; Mierczynski theorem; monotone system; ordinary differential equation; positive translation invariance; Biochemistry; Chemicals; Convergence; Differential equations; Mathematics; Nonlinear dynamical systems; Stability; State-space methods; chemical reaction networks; global stability; monotone systems;
Conference_Titel :
Control and Automation, 2006. MED '06. 14th Mediterranean Conference on
Conference_Location :
Ancona
Print_ISBN :
0-9786720-1-1
Electronic_ISBN :
0-9786720-0-3
DOI :
10.1109/MED.2006.328782
