A local field of extremals for single-input systems with state space constraints

被引：5
|
作者：
Ledzewicz, U [1 ]
Schättler, H [1 ]
机构：
[1] So Illinois Univ, Dept Math & Stat, Edwardsville, IL 62026 USA
来源：
2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5 | 2004年
关键词：
D O I：
10.1109/CDC.2004.1428803
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
For optimal control problems with state space constraints given by control-invariant manifolds of relative degree 1 we construct a local embedding of a boundary arc into a field of extremals providing sufficient conditions for strong local optimality of the reference trajectory. Because of the presence of the constraint this local field is made of portions of trajectories which are only partially defined since the full trajectories are not close to the reference trajectory.
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页码：923 / 928
页数：6
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