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On full controllability criteria of a descriptor system. The polynomial solution of a control problem with checkpoints

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Abstract

We derive full controllability criteria for a stationary dynamical system described by an algebro-differential relation with rectangular matrix coefficient. The derivation is done by multistage splitting of the spaces into subspaces in special and general cases. We construct a polynomial control and state of the descriptor system in case the system trajectory passes an arbitrary finite amount of checkpoints without projectors.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    S. P. Zubova

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  1. S. P. Zubova
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Original Russian Text © S.P. Zubova, 2011, published in Avtomatika i Telemekhanika, 2011, No. 1, pp. 27–41.

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Zubova, S.P. On full controllability criteria of a descriptor system. The polynomial solution of a control problem with checkpoints. Autom Remote Control 72, 23–37 (2011). https://doi.org/10.1134/S0005117911010036

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  • DOI: https://doi.org/10.1134/S0005117911010036

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