Monotone control systems

被引：446

作者：

Angeli, D ^{[1
]}

Sontag, ED

机构：

[1] Univ Florence, Dipartimento Sistemi & Informat, I-50139 Florence, Italy

[2] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2003年 / 48卷 / 10期

关键词：

cooperative systems; monotone systems; nnlinear stability; small-gain theorems;

D O I：

10.1109/TAC.2003.817920

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：1684 / 1698

页数：15

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