Controllability of Poisson systems

被引：4
|
作者：
Birtea, P [1 ]
Puta, M
Ratiu, TS
机构：
[1] Ecole Polytech Fed Lausanne, Ctr Bernoulli, CH-1015 Lausanne, Switzerland
[2] Univ Vest Din Timisoara, Dept Matemat, RO-300223 Timisoara, Romania
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2004年 / 43卷 / 03期
关键词：
controllability; symplectic manifold; Poisson manifold; reduction; weak positive Poisson stability;
D O I：
10.1137/S0363012902401251
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Sufficient conditions for the controllability of affine nonlinear control systems on Poisson manifolds are given. The important special case when the Poisson manifold is the reduced space of a symplectic manifold by a free Lie group action is studied. The controllability of the reduced system is linked to that of the given a. ne nonlinear system. Several examples illustrating the theory are also presented.
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页码：937 / 954
页数：18
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