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

@article{Sassano:2022:10.1016/j.automatica.2022.110389,
author = {Sassano, M and Mylvaganam, T and Astolfi, A},
doi = {10.1016/j.automatica.2022.110389},
journal = {Automatica},
pages = {1--8},
title = {On the analysis of open-loop Nash equilibria admitting a feedbacksynthesis in nonlinear differential games},
url = {http://dx.doi.org/10.1016/j.automatica.2022.110389},
volume = {142},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Open-loop Nash equilibrium strategies for differential games described by nonlinear, input-affine, systems and cost functionals that are quadratic with respect to the control input are studied. First it is shown that the computation of such strategies hinges upon the solution of a system of nonlinear, time-varying, partial differential equations (PDEs) obtained by building on arguments borrowed from Pontryagin’s Minimum Principle and combined with Dynamic Programming considerations. Then, by relying on a state/costate interpretation of the above characterization, a feedback synthesis of the underlying open-loop strategy is obtained by solving linear first-order PDEs that ensure invariance of certain submanifolds in the state-space of the extended state/costate dynamics. These PDEs are the nonlinear counterpart of the well-known asymmetric Algebraic Riccati Equations arising in the study of linear quadratic Nash games.
AU  - Sassano,M
AU  - Mylvaganam,T
AU  - Astolfi,A
DO  - 10.1016/j.automatica.2022.110389
EP  - 8
PY  - 2022///
SN  - 0005-1098
SP  - 1
TI  - On the analysis of open-loop Nash equilibria admitting a feedbacksynthesis in nonlinear differential games
T2  - Automatica
UR  - http://dx.doi.org/10.1016/j.automatica.2022.110389
UR  - https://www.sciencedirect.com/science/article/pii/S0005109822002394?via%3Dihub
UR  - http://hdl.handle.net/10044/1/96888
VL  - 142
ER  -
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