Cooperative controls for air traffic management

被引:0
作者
Marigo, A [1 ]
Piccoli, B [1 ]
机构
[1] CNR, Ist Applicaz Calcolo Mauro Picone, I-00161 Rome, Italy
关键词
cooperative control; optimal synthesis; discontinuous ODES;
D O I
10.3934/cpaa.2003.2.355
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a model of cooperative control system, that is a system where different controls act with non conflictual purposes. For example one control is chosen in order to minimize some cost while another is designed for safety purposes. In our main application, a model of Air Traffic Management, one control minimizes the travel time while the other is applied to avoid crashes in a free flight environment. The mathematical difficulties arise because of the use of two discontinuous feedbacks at the same time. We consider stratified feedbacks and solutions in Krasowskii sense. Two refinements of this concept are given to guarantee existence and good behavior of solutions.
引用
收藏
页码:355 / 369
页数:15
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