Title :
Monotone control systems
Author :
Angeli, David ; Sontag, Eduardo D.
Author_Institution :
Dipt. Sistemi e Informatica, Univ. of Florence, Firenze, Italy
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.
Keywords :
cellular biophysics; feedback; interconnected systems; MAPK cascades; cell subsystem; dynamical systems; eukaryotic cell signal transduction; feedback loops; interconnections; mathematical biology modeling; mitogen-activated protein kinase cascades; monotone control systems; Biological system modeling; Cells (biology); Computational biology; Control systems; Cooperative systems; Feedback loop; Mathematical model; Negative feedback; Stability; Systems biology;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.817920