Monotone control systems
Angeli, D.
Sontag, E.D.
Dipt. Sistemi e Informatica, Univ. of Florence, Firenze, Italy;
This paper appears in: Automatic Control, IEEE Transactions on
Publication Date: Oct. 2003
Volume: 48,
Issue: 10
On page(s): 1684- 1698
ISSN: 0018-9286
INSPEC Accession Number: 7758661
Digital Object Identifier: 10.1109/TAC.2003.817920
Current Version Published: 2003-10-07
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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