Converse theorems of the principal Lyapunov results for partial stability of general dynamical systems on metric spaces

被引：3
|
作者：
Molchanov, AP [1 ]
Michel, AN [1 ]
Sun, Y [1 ]
机构：
[1] Russian Acad Sci, Inst Control Sci, Moscow 117997, Russia
来源：
42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS | 2003年
关键词：
D O I：
10.1109/CDC.2003.1272442
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We present converse theorems for the Principal Lyapunov Results concerning partial stability properties of general dynamical systems defined on metric spaces. We consider the general case of partial stability (y-stability) with respect to disturbances in all of the initial state variables x(0) = (y(0), z(0)) as well as the case of y-stability under arbitrary z-perturbations.
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页码：5085 / 5090
页数：6
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