Singular perturbations and input-to-state stability

被引:130
作者
Christofides, PD
Teel, AR
机构
[1] UNIV MINNESOTA, DEPT CHEM ENGN & MAT SCI, MINNEAPOLIS, MN 55455 USA
[2] UNIV MINNESOTA, DEPT ELECT ENGN, MINNEAPOLIS, MN 55455 USA
基金
美国国家科学基金会;
关键词
D O I
10.1109/9.544001
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper establishes a type of total stability for the input-to-state stability properly with respect to singular perturbations. In particular, if the boundary layer system is uniformly globally asymptotically stable and the reduced system is input-to-state stable with respect to disturbances, then these properties continue to hold, up to an arbitrarily small offset, for initial conditions, disturbances, and their derivatives in an arbitrarily large compact set as long as the singular perturbation parameter is sufficiently small.
引用
收藏
页码:1645 / 1650
页数:6
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