Trajectory-based local approximations of ordinary differential equations

被引：10
|
作者：
Moreau, L [1 ]
Aeyels, D [1 ]
机构：
[1] State Univ Ghent, Syst Grp, B-9052 Zwijnaarde, Belgium
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2003年 / 41卷 / 06期
关键词：
asymptotic stability; ordinary differential equations; averaging; perturbations;
D O I：
10.1137/S0363012900370776
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The present paper introduces a new definition of local approximation for ordinary differential equations locally around an equilibrium point. This definition generalizes the well-known linear and homogeneous approximations. The approach is based on approximating trajectories near the origin. This concept of local approximation is applied to the study of local uniform asymptotic stability, leading to alternative proofs for and extensions of several existing stability results.
引用
收藏
页码：1922 / 1945
页数：24
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