Robustness of exponential stability to singular perturbations and delays

被引：15
作者：
Grammel, G. [1 ]
机构：
[1] Tech Univ Munich, Ctr Math, D-85747 Garching, Germany
来源：
SYSTEMS & CONTROL LETTERS | 2008年 / 57卷 / 06期
关键词：
averaging; singular perturbation; delay; exponential stability;
D O I：
10.1016/j.sysconle.2007.11.009
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Singularly perturbed nonlinear differential equations with small time delays in the slow variables are considered. Averages of the fast variables are used in order to obtain a sufficient condition under which the exponential stability of the slow subsystem is robust to singular perturbations and delays. (C) 2007 Elsevier B.V. All rights reserved.
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页码：505 / 510
页数：6
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