G. Silvanavarro et J. Alvarezgallegos, SIGN AND STABILITY OF EQUILIBRIA IN QUASI-MONOTONE POSITIVE NONLINEAR-SYSTEMS, IEEE transactions on automatic control, 42(3), 1997, pp. 403-407
Citations number
9
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
The paper deals with the problem of finding the extension of a well-es
tablished connection between sign and stability of nontrivial equilibr
ia in positive linear systems to the class of quasi-monotone positive
nonlinear systems. The mathematical framework to provide the sufficien
t conditions guaranteeing such a relationship is the stability theory
for nonlinear systems, especially the comparison principles and the me
thod of vector Lyapunov functions. As an illustration of our results w
e present an example of a double-effect evaporator to study the sign-s
tability property of its only equilibrium point.