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@article{Sassano:2019:10.1080/23307706.2018.1552208,
author = {Sassano, M and Mylvaganam, T and Astolfi, A},
doi = {10.1080/23307706.2018.1552208},
journal = {Journal of Control and Decision},
pages = {1--29},
title = {An algebraic approach to dynamic optimisation of nonlinear systems: a survey and some new results},
url = {http://dx.doi.org/10.1080/23307706.2018.1552208},
volume = {6},
year = {2019}
}

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TY  - JOUR
AB  - Dynamic optimisation, with a particular focus on optimal control and nonzero-sum differential games, is considered. For nonlinear systems solutions sought via the dynamic programming strategy are inevitably characterised by partial differential equations (PDEs) which are often difficult to solve. A detailed overview of a control design framework which enables the systematic construction of approximate solutions for optimal control problems and differential games without requiring the explicit solution of any PDE is provided along with a novel design of a nonlinear control gain aimed at improving the ‘level of approximation’ achieved. Multi-agent systems are considered as a possible application of the theory.
AU  - Sassano,M
AU  - Mylvaganam,T
AU  - Astolfi,A
DO  - 10.1080/23307706.2018.1552208
EP  - 29
PY  - 2019///
SN  - 2330-7706
SP  - 1
TI  - An algebraic approach to dynamic optimisation of nonlinear systems: a survey and some new results
T2  - Journal of Control and Decision
UR  - http://dx.doi.org/10.1080/23307706.2018.1552208
UR  - http://hdl.handle.net/10044/1/66304
VL  - 6
ER  -

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