Abstract
In this article we present the Pontryagin maximum principle of a time-optimal control problem for general form of functional-differential equations. The obtained results are the direct generalization of the case for ordinary differential equations: if the delay disappear then the results turn into the classic Pontryagin maximum principle for finite dimensional systems. In this work we apply the methodology and constructions of the i-Smooth analysis.
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Acknowledgements
The work was supported by the Russian Foundation for Basic Research (project no. 17-01-00636).
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Kim, A.V., Kormyshev, V.M., Ivanov, A.V. (2018). On the Maximum Principle for Systems with Delays. In: Pinelas, S., Caraballo, T., Kloeden, P., Graef, J. (eds) Differential and Difference Equations with Applications. ICDDEA 2017. Springer Proceedings in Mathematics & Statistics, vol 230. Springer, Cham. https://doi.org/10.1007/978-3-319-75647-9_17
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DOI: https://doi.org/10.1007/978-3-319-75647-9_17
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