Monotone Systems with Inputs and Outputs
نویسندگان
چکیده
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.
منابع مشابه
Remarks on random dynamical systems with inputs and outputs and a small-gain theorem for monotone RDS
This note introduces a new notion of random dynamical systems with inputs and outputs, and sketches a small-gain theorem for monotone systems which generalizes a similar theorem known for deterministic systems.
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