Title
Sign and stability of equilibria in quasi-monotone positive nonlinear systems
Abstract
The paper deals with the problem of finding the extension of a well-established connection between sign and stability of nontrivial equilibria in positive linear systems to the class of quasi-monotone positive nonlinear systems. The mathematical framework to provide the sufficient conditions guaranteeing such a relationship is the stability theory for nonlinear systems, especially the comparison principles and the method of vector Lyapunov functions. As an illustration of our results we present an example of a double-effect evaporator to study the sign-stability property of its only equilibrium point.
Year
DOI
Venue
1997
10.1109/9.557585
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Nonlinear systems,Linear systems,Asymptotic stability,Sufficient conditions,Vectors,Lyapunov method,Mathematical model,Chemistry,Biomedical engineering,Jacobian matrices
Journal
42
Issue
ISSN
Citations 
3
0018-9286
7
PageRank 
References 
Authors
9.52
0
2
Name
Order
Citations
PageRank
Gerardo Silva-Navarro1815.01
Jaime Álvarez-Gallegos23615.54