CONTROLLABILITY OF A LINEAR DISCRETE SYSTEM WITH CHANGE OF THE STATE VECTOR DIMENSION
Abstract
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.
References
Sobchuk V., Pichkur V., Barabash O., Laptiev O., Kovalchuk I., Zidan A. Algorithm of control of functionally stable manufacturing processes of enterprises. 2020 2nd IEEE International Conference on Advanced Trends in Information Theory, (2020), 206-210.
Barabash O., Tverdenko H., Sobchuk V., Musienko A., Lukova-Chuiko N. The Assessment of the Quality of Functional Stability of the Automated Control System with Hierarchic Structure. 2020 IEEE 2nd International Conference on System Analysis & Intelligent Computing (SAIC), Kyiv, Ukraine, (2020), 158-161.
Maksymuk O., Sobchuk V., Salanda I., Sachuk Yu. A system of indicators and criteria for evaluation of the level of functional stability of information heterogenic networks. Mathematical Modeling and Computing. No. 7 (2) (2020), 285-292.
Bashnyakov A.N., Pichkur V.V., Hitko I.V. On Maximal Initial Data Set in Problems of Practical Stability of Discrete System. Journal of Automation and Information Sciences, No. 43 (3) (2001), 1-8.
Pichkur V.V., Linder Y.M. Practical Stability of Discrete Systems: Maximum Sets of Initial Conditions Concept, In: Sadovnichiy, V.A., Zgurovsky, M. (eds.) Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics. Understanding Complex Systems, Springer, Berlin, 2021, 381-394.
Matvienko V.T. Control of trajectories set by linear dynamic systems with discrete argument. Journal of Automation and Information Sciences, No. 39 (11) (2007), 4-10.
