New converse Lyapunov theorems and related results on exponential stability

被引：0
|
作者：
Martin Corless
Luigi Glielmo
机构：
[1] Purdue University,School of Aeronautics and Astronautics
[2] Università degli Studi di Napoli “Federico II”,Dipartimento di Informatica e Sistemistica
来源：
Mathematics of Control, Signals and Systems | 1998年 / 11卷
关键词：
Lyapunov; Converse results; Exponential stability; Linear systems; Linearization techniques; Nonlinear systems; Cascade systems; Parametrized systems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We treat the problem of constructing Lyapunov functions for systems which are, by assumption, exponentially stable. The construction we present results in a larger set of functions than those obtainable by previously known methods. A useful property of the proposed Lyapunov functions is that they preserve information on the rate of exponential convergence of the system. Some useful applications are given.
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页码：79 / 100
页数：21
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