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Minimum Time and Minimum Energy for Linear Systems; a Variational Approach

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Abstract

In this paper we develop a variational approach for the norm optimal control problem in an abstract general setting for linear systems. This technique is also related to the classical pseudoinverse for linear and bounded operators between Hilbert spaces. Characterizations for time optimal controls are also given.

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Acknowledgements

The work of A. I. Lazu was supported by a Grant of the Romanian Ministry of Research and Innovation, CNCS - UEFISCDI, Project Number PN-III-P1-1.1-TE-2016-0868, within PNCDI III.

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Authors and Affiliations

  1. Department of Mathematics, “Al. I. Cuza” University, Iaşi 700506 and “Octav Mayer” Mathematics Institute, Romanian Academy, 700505, Iasi, Romania

    O. Cârjă

  2. Department of Mathematics, “Gh. Asachi” Technical University, 700506, Iasi, Romania

    A. I. Lazu

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  1. O. Cârjă
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  2. A. I. Lazu
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Correspondence to O. Cârjă.

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Cârjă, O., Lazu, A.I. Minimum Time and Minimum Energy for Linear Systems; a Variational Approach. Appl Math Optim 84, 2359–2377 (2021). https://doi.org/10.1007/s00245-020-09715-x

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