Journal of Optimization Theory and Applications

, Volume 180, Issue 2, pp 442–450 | Cite as

Discrete Multivariate Optimal Control

  • Andreea BejenaruEmail author
  • Monica Pîrvan


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.


Optimal control Multidirectional iterative process Dynamic matrix Maximum principle Riccati multidimensional iterative process 



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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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of Applied SciencesUniversity Politehnica of BucharestBucharestRomania

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