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Discrete Multivariate Optimal Control

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Abstract

This paper reconsiders some aspects of the discrete optimal control theory by extending the dimension of the discrete-time variable. A new strong, symbiotic dynamics is defined and analyzed through its compatibility aspects. The main outcomes reflect the complete controllability of the multivariate discrete evolution (multidimensional iterative process) and the necessary conditions for optimizing a performance criterion of linear quadratic form. An example is provided to emphasize the relevancy and the extensive features of such an approach.

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Acknowledgements

This work has been funded by University Politehnica of Bucharest, through the Excellence Research Grants Program, UPB-GEX 2017. Identifier: UPB-GEX 2017, Ctr. No. 84/25.09.2017.

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Authors and Affiliations

  1. Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independentei 313, 060042, Bucharest, Romania

    Andreea Bejenaru & Monica Pîrvan

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  1. Andreea Bejenaru
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  2. Monica Pîrvan
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Correspondence to Andreea Bejenaru.

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Bejenaru, A., Pîrvan, M. Discrete Multivariate Optimal Control. J Optim Theory Appl 180, 442–450 (2019). https://doi.org/10.1007/s10957-018-1353-y

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  • DOI: https://doi.org/10.1007/s10957-018-1353-y

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