Discrete Multivariate Optimal Control

Andreea Bejenaru () and Monica Pîrvan ()
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Andreea Bejenaru: University Politehnica of Bucharest
Monica Pîrvan: University Politehnica of Bucharest

Journal of Optimization Theory and Applications, 2019, vol. 180, issue 2, No 5, 442-450

Abstract: 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.

Keywords: Optimal control; Multidirectional iterative process; Dynamic matrix; Maximum principle; Riccati multidimensional iterative process (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10957-018-1353-y

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