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On the Properties of Controllability of Discrete-Time Bilinear Systems Associated with Block-Triangular and Permutation Matrices

  • SYSTEMS THEORY AND GENERAL CONTROL THEORY
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Abstract

The new results associated with properties of the controllability of discrete-time bilinear systems are presented. The properties of the controllability of a class of bilinear systems with block-triangular matrices are discussed. As a consequence, systems with permutation matrices and scalar bounded control are investigated. A series of necessary controllability conditions related to the dimension of the state vector and spectral properties of systems’ matrices are established and proved.

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Authors and Affiliations

  1. Moscow Aviation Institute (National Research University), 125993, Moscow, Russia

    A. N. Sirotin

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  1. A. N. Sirotin
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Correspondence to A. N. Sirotin.

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Translated by L. Kartvelishvili

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Sirotin, A.N. On the Properties of Controllability of Discrete-Time Bilinear Systems Associated with Block-Triangular and Permutation Matrices. J. Comput. Syst. Sci. Int. 57, 841–853 (2018). https://doi.org/10.1134/S1064230718060102

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  • DOI: https://doi.org/10.1134/S1064230718060102

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