Imperial College London
Alternate

DrThulasiMylvaganam

Faculty of Engineering, Department of Aeronautics

Senior Lecturer in Control Engineering
 
 
 
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Contact

 

+44 (0)20 7594 5129t.mylvaganam

 
 
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Location

 

221City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@inproceedings{Cappello:2021:10.1016/j.ifacol.2020.12.091,
author = {Cappello, D and Mylvaganam, T},
doi = {10.1016/j.ifacol.2020.12.091},
pages = {6685--6690},
publisher = {IFAC Secretariat},
title = {Approximate Nash equilibrium solutions of linear quadratic differential games},
url = {http://dx.doi.org/10.1016/j.ifacol.2020.12.091},
year = {2021}
}
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RIS format (EndNote, RefMan)

TY  - CPAPER
AB  - It is well known that finding Nash equilibrium solutions of nonzero-sum differential games is a challenging task. Focusing on a class of linear quadratic differential games, we consider three notions of approximate feedback Nash equilibrium solutions and provide a characterisation of these in terms of matrix inequalities which constitute quadratic feasibility problems. These feasibility problems are then recast first as bilinear feasibility problems and finally as rank constrained optimisation problems, i.e. a class of static problems frequently encountered in control theory.
AU  - Cappello,D
AU  - Mylvaganam,T
DO  - 10.1016/j.ifacol.2020.12.091
EP  - 6690
PB  - IFAC Secretariat
PY  - 2021///
SN  - 2405-8963
SP  - 6685
TI  - Approximate Nash equilibrium solutions of linear quadratic differential games
UR  - http://dx.doi.org/10.1016/j.ifacol.2020.12.091
UR  - https://www.sciencedirect.com/science/article/pii/S2405896320303475
UR  - http://hdl.handle.net/10044/1/78792
ER  -
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