State-local optimality of a bang-bang trajectory: a Hamiltonian approach

被引：28
|
作者：
Poggiolini, L [1 ]
Stefani, G [1 ]
机构：
[1] Univ Florence, Dipartimento Matemat Appl G Sansone, I-50139 Florence, Italy
来源：
SYSTEMS & CONTROL LETTERS | 2004年 / 53卷 / 3-4期
关键词：
minimum time; bang-bang control; sufficient conditions; second variation; Hamiltonian methods;
D O I：
10.1016/j.sysconle.2004.05.005
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We give a sufficient condition for a bang-bang extremal (ξ) over cap to be a strong local optimizer for the minimum time problem with fixed endpoints. We underline that the conditions imply that the optimum is local with respect to the state and not necessarily to the final time. Moreover, it is given through a finite-dimensional minimization problem, hence is suited for numerical verification. A geometric interpretation through the projection of the Hamiltonian flow on the state space is also given. (C) 2004 Elsevier B.V. All rights reserved.
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页码：269 / 279
页数：11
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