Stability of positive and monotone systems in a partially ordered space

被引：0
|
作者：
A. G. Mazko
机构：
[1] Ukrainian Academy of Sciences,Institute of Mathematics
来源：
Ukrainian Mathematical Journal | 2004年 / 56卷 / 4期
关键词：
Dynamical System; Phase Space; Stability Condition; Comparison Method; Differential System;
D O I：
10.1007/s11253-005-0003-3
中图分类号：
学科分类号：
摘要：
We investigate properties of positive and monotone dynamical systems with respect to given cones in the phase space. Stability conditions for linear and nonlinear differential systems in a partially ordered space are formulated. Conditions for the positivity of dynamical systems with respect to the Minkowski cone are established. By using the comparison method, we solve the problem of the robust stability of a family of systems.
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页码：560 / 576
页数：16
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