On external estimates for reachable sets of nonlinear control systems

被引：0
作者：
M. I. Gusev
机构：
[1] Ural Branch of the Russian Academy of Sciences,Institute of Mathematics and Mechanics
[2] Ural Federal University,undefined
来源：
Proceedings of the Steklov Institute of Mathematics | 2011年 / 275卷
关键词：
control system; reachable set; comparison principle;
D O I：
暂无
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学科分类号：
摘要：
The paper is devoted to the problem of constructing external estimates for reachable sets of a nonlinear control system. The estimates are constructed in the form of level sets of smooth functions in the space of states satisfying differential inequalities. In the system under consideration, the linear part is found, for which the corresponding functions are assumed to be known. The method proposed for estimating trajectories of a nonlinear system is based on modifying estimates for the linear part and on applying the comparison principle.
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页码：57 / 67
页数：10
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