Monotone control systems. Angeli, D. & Sontag, E. *IEEE Trans. Automat. Control*, 48(10):1684–1698, 2003. Errata are here: http://www.math.rutgers.edu/(tilde)sontag/FTPDIR/angeli-sontag-monotone-TAC03-typos.txtabstract bibtex Monotone systems constitute one of the most important classes of dynamical systems used in mathematical biology modeling. The objective of this paper is to extend the notion of monotonicity to systems with inputs and outputs, a necessary first step in trying to understand interconnections, especially including feedback loops, built up out of monotone components. Basic definitions and theorems are provided, as well as an application to the study of a model of one of the cell's most important subsystems.

@ARTICLE{monotoneTAC,
AUTHOR = {D. Angeli and E.D. Sontag},
JOURNAL = {IEEE Trans. Automat. Control},
TITLE = {Monotone control systems},
YEAR = {2003},
OPTMONTH = {},
NOTE = {Errata are here: http://www.math.rutgers.edu/(tilde)sontag/FTPDIR/angeli-sontag-monotone-TAC03-typos.txt},
NUMBER = {10},
PAGES = {1684--1698},
VOLUME = {48},
KEYWORDS = {systems biology, biochemical networks,
nonlinear stability, dynamical systems, monotone systems},
PDF = {../../FTPDIR/angeli-sontag-monotone-TAC03.pdf},
ABSTRACT = { Monotone systems constitute one of the most important
classes of dynamical systems used in mathematical biology modeling.
The objective of this paper is to extend the notion of monotonicity
to systems with inputs and outputs, a necessary first step in trying
to understand interconnections, especially including feedback loops,
built up out of monotone components. Basic definitions and theorems
are provided, as well as an application to the study of a model of
one of the cell's most important subsystems. }
}

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