On the Properties of Controllability of Discrete-Time Bilinear Systems Associated with Block-Triangular and Permutation Matrices
- Authors: Sirotin A.N.1
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Affiliations:
- Moscow Aviation Institute (National Research University)
- Issue: Vol 57, No 6 (2018)
- Pages: 841-853
- Section: Systems Theory and General Control Theory
- URL: https://journals.rcsi.science/1064-2307/article/view/220232
- DOI: https://doi.org/10.1134/S1064230718060102
- ID: 220232
Cite item
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.
About the authors
A. N. Sirotin
Moscow Aviation Institute (National Research University)
Author for correspondence.
Email: asirotin2@yandex.ru
Russian Federation, Moscow, 125993