DocumentCode
391302
Title
A remark on monotone control systems
Author
Angeli, David ; Sontag, Eduardo D.
Author_Institution
Dip. Sistemi e Informatica, Univ. of Florence, Firenze, Italy
Volume
2
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
1876
Abstract
Monotone systems constitute one of the most important classes of dynamical systems used in mathematical biology modeling. The objective of the 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.
Keywords
Banach spaces; biology; feedback; physiological models; stability; time-varying systems; cascades; cooperative systems; feedback loops; mathematical biology modeling; monotone control systems; monotonicity; Biological system modeling; Cells (biology); Computational biology; Control systems; Cooperative systems; Mathematical model; Mathematics; Negative feedback; State feedback; Systems biology;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1184798
Filename
1184798
Link To Document