Open AccessCONTROLLABILITY OF A LINEAR DISCRETE SYSTEM WITH CHANGE OF THE STATE VECTOR DIMENSION
Author(s) -
В. В. Пічкур,
Damian Mazur,
Valentyn Sobchuk
Publication year - 2021
Publication title -
žurnal občislûvalʹnoï ta prikladnoï matematiki
Language(s) - English
Resource type - Journals
eISSN - 2706-9699
pISSN - 2706-9680
DOI - 10.17721/2706-9699.2021.1.23
Subject(s) - controllability , dimension (graph theory) , state vector , state (computer science) , linear system , mathematics , control theory (sociology) , stability (learning theory) , computer science , control (management) , pure mathematics , mathematical analysis , algorithm , physics , artificial intelligence , classical mechanics , machine learning
The paper proposes an analysis of controllability of a linear discrete system with change of the state vector dimension. We offer necessary and sufficient conditions of controllability and design the control that guarantees the decision of a problem of moving of such system to an arbitrary final state. It provides functional stability of technological processes described by a linear discrete system with change of the state vector dimension.