Abstract | ||
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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 |
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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-Navarro | 1 | 8 | 15.01 |
Jaime Álvarez-Gallegos | 2 | 36 | 15.54 |