Random Dynamical Systems with Inputs

被引：4
|
作者：
de Freitas, Michael Marcondes [1 ]
Sontag, Eduardo D. [1 ]
机构：
[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
来源：
NONAUTONOMOUS DYNAMICAL SYSTEMS IN THE LIFE SCIENCES | 2013年 / 2102卷
基金：
美国国家卫生研究院;
关键词：
Pullback convergence; Random dynamical systems; Stochastic dynamics; GLOBAL ATTRACTIVITY; STOCHASTIC-SYSTEMS; STABILIZATION; STABILITY;
D O I：
10.1007/978-3-319-03080-7_2
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This work introduces a notion of random dynamical systems with inputs, providing several basic definitions and results on equilibria and convergence. It also presents a "converging input to converging state" ("CICS") result, a concept that plays a key role in the analysis of stability of feedback interconnections, for monotone systems.
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页码：41 / 87
页数：47
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