Second order conditions for the controllability of nonlinear systems with drift

被引：16
作者：
Marigonda, Antonio [1 ]
机构：
[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2006年 / 5卷 / 04期
关键词：
control theory; small time controllability; Petrov condition;
D O I：
10.3934/cpaa.2006.5.861
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study controllability of control systems in R-n of the form (x)over dot = f(x) + Sigma(m)(i=1) u(i)g(i)(x) with u is an element of U compact convex subset of R-n with a rather general target. The symmetric (driftless) case, i.e. f = 0, is a very classical topic, and in this case the results on controllability and Holder continuity of the minimal time function T are related to certain properties of the Lie algebra generated by the g(i)'s. Here, we want to extend some results on controllability and Holder continuity of T to some cases where f not equal 0.
引用
收藏
页码：861 / 885
页数：25
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