Strong Local Optimality for a Bang-Bang-Singular Extremal: General Constraints

被引：1
|
作者：
Poggiolini, Laura [1 ]
Stefani, Gianna [1 ]
机构：
[1] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Florence, Italy
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2020年 / 186卷 / 01期
关键词：
Sufficient conditions; Singular control; Second variation; Hamiltonian methods; DOUBLE SWITCHING TIME; STRUCTURAL STABILITY; TRAJECTORIES;
D O I：
10.1007/s10957-020-01700-2
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：
The paper provides second-order sufficient conditions for the strong local optimality of bang-bang-singular extremals in a Mayer problem with general end point constraints. The sufficient conditions are expressed as a strengthening of the necessary ones plus the coerciveness of a suitable quadratic form related to a sub-problem of the given one. The sufficiency of the given conditions is proven via Hamiltonian methods.
引用
收藏
页码：24 / 49
页数：26
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