Sufficient quadratic conditions of extremum for discontinuous controls in optimal control problems with mixed constraints

被引：0
作者：
Osmolovskii N.P. [1 ,2 ,3 ]
机构：
[1] Systems Research Institute, Warsaw
[2] Politechnika Radomska, Radom
[3] Akademia Podlaska, Siedlce
来源：
Journal of Mathematical Sciences | 2011年 / 173卷 / 1期
基金：
俄罗斯基础研究基金会;
关键词：
Optimal Control Problem; Basic Constant; Critical Cone; Weak Minimum; Quadratic Condition;
D O I：
10.1007/s10958-011-0233-x
中图分类号：
学科分类号：
摘要：
We derive second-order sufficient optimality conditions for discontinuous controls in optimal control problems of ordinary differential equations with initial-final state constraints and mixed state-control constraints of equality and inequality type. Under the assumption that the gradients with respect to the control of active mixed constraints are linearly independent, the sufficient conditions imply a bounded strong minimum in the problem. © 2011 Springer Science+Business Media, Inc.
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页码：1 / 106
页数：105
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