Imperial College London
Alternate

Emeritus ProfessorRichardVinter

Faculty of Engineering, Department of Electrical and Electronic Engineering

Emeritus Professor in Electrical and Electronic Engineering
 
 
 
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Contact

 

+44 (0)20 7594 6287r.vinter Website

 
 
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Assistant

 

Mrs Raluca Reynolds +44 (0)20 7594 6281

 
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Location

 

618Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Festa:2016:10.1007/s10957-016-0908-z,
author = {Festa, A and Vinter, RB},
doi = {10.1007/s10957-016-0908-z},
journal = {Journal of Optimization Theory and Applications},
pages = {848--875},
title = {Decomposition of Differential Games with Multiple Targets},
url = {http://dx.doi.org/10.1007/s10957-016-0908-z},
volume = {169},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - This paper provides a decomposition technique for the purpose of simplifying the solution of certain zero-sum differential games. The games considered terminate when the state reaches a target, which can be expressed as the union of a collection of target subsets considered as ‘multiple targets’; the decomposition consists in replacing the original target by each of the target subsets. The value of the original game is then obtained as the lower envelope of the values of the collection of games, resulting from the decomposition, which can be much easier to solve than the original game. Criteria are given for the validity of the decomposition. The paper includes examples, illustrating the application of the technique to pursuit/evasion games and to flow control.
AU  - Festa,A
AU  - Vinter,RB
DO  - 10.1007/s10957-016-0908-z
EP  - 875
PY  - 2016///
SN  - 1573-2878
SP  - 848
TI  - Decomposition of Differential Games with Multiple Targets
T2  - Journal of Optimization Theory and Applications
UR  - http://dx.doi.org/10.1007/s10957-016-0908-z
UR  - http://hdl.handle.net/10044/1/38876
VL  - 169
ER  -
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