Symmetry Properties of States and Costates in Impulsive Control Systems

被引：0

作者：

Huang, Weijun ^{[1
]}

机构：

[1] MathWorks Inc, Natick, MA USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2014年 / 160卷 / 02期

关键词：

Impulsive control systems; Symmetry property of states and costates; Successive approximation method; Second-order costates approximations; RELATIVE MOTION; ORBITS; TRANSITION;

D O I：

10.1007/s10957-013-0404-7

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper reveals two symmetry properties of the states and costates of a special type of optimal impulsive control problems and, based on these two properties, proposes a new procedure for obtaining the second-order states and costates approximations. It further shows with an example that this procedure is efficient and can be implemented effectively in a computer algebraic system.

引用

页码：597 / 607

页数：11

共 12 条

[1]

[Anonymous], SPACECRAFT TRAJECTOR

[2]

Anthony N., 1965, AIAA J, V3, P1666

[3] State transition matrices for terminal rendezvous studies: Brief survey and new example [J].