Monotone control systems

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, especiall...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2003-10, Vol.48 (10), p.1684-1698
Main Authors: Angeli, D., Sontag, E.D.
Format: Article
Language:English
Subjects:
Applied sciences
Automatic control
Biological system modeling
Biology
Cells (biology)
Computational biology
Computer science
control theory
systems
Control system analysis
Control systems
Control theory. Systems
Cooperative systems
Dynamical systems
Dynamics
Exact sciences and technology
Feedback loop
Feedback loops
Interconnections
Mathematical model
Mathematical models
Miscellaneous
Negative feedback
Stability
Systems biology
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2003.817920