Multitudes of values for the length of discretization interval in the problem of discrete stabilization

Standard

Multitudes of values for the length of discretization interval in the problem of discrete stabilization. / Ermolin, V. S.

In: Journal of Computer and Systems Sciences International, Vol. 34, No. 4, 1996, p. 13-18.

Research output: Contribution to journal › Article

BibTeX

@article{fa30e289bf444ea0a7bb26067feb8ed8,

title = "Multitudes of values for the length of discretization interval in the problem of discrete stabilization",

abstract = "In the paper, results of investigations are presented on the solution of stabilization problem with discrete controls for linear stationary systems. Necessary and sufficient conditions are proposed for the solvability of this problem given any fixed value of discretization step. Collections of values of discretization step are constructed for which there is no solution for discrete stabilization problem, and also other collections for which the solvability conditions differ from those of continuous stabilization problem. Comparative analysis of sets of continuous and discrete stabilizing controls is presented in the cases when gain coefficients in continuous and discrete controls coincide.",

keywords = "Discretization, Stationary system, Linear system, Stabilization, Comparative study, Controllability, Differential equations, Mathematical models, Matrix algebra, Problem solving, System stability, Vectors, Discrete stabilization, Discretization interval, Discrete time control systems, Complete controllability",

author = "Ermolin, {V. S.}",

year = "1996",

language = "English",

volume = "34",

pages = "13--18",

journal = "Journal of Computer and Systems Sciences International",

issn = "1064-2307",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "4",

}

RIS

TY - JOUR

T1 - Multitudes of values for the length of discretization interval in the problem of discrete stabilization

AU - Ermolin, V. S.

PY - 1996

Y1 - 1996

N2 - In the paper, results of investigations are presented on the solution of stabilization problem with discrete controls for linear stationary systems. Necessary and sufficient conditions are proposed for the solvability of this problem given any fixed value of discretization step. Collections of values of discretization step are constructed for which there is no solution for discrete stabilization problem, and also other collections for which the solvability conditions differ from those of continuous stabilization problem. Comparative analysis of sets of continuous and discrete stabilizing controls is presented in the cases when gain coefficients in continuous and discrete controls coincide.

AB - In the paper, results of investigations are presented on the solution of stabilization problem with discrete controls for linear stationary systems. Necessary and sufficient conditions are proposed for the solvability of this problem given any fixed value of discretization step. Collections of values of discretization step are constructed for which there is no solution for discrete stabilization problem, and also other collections for which the solvability conditions differ from those of continuous stabilization problem. Comparative analysis of sets of continuous and discrete stabilizing controls is presented in the cases when gain coefficients in continuous and discrete controls coincide.

KW - Discretization, Stationary system, Linear system, Stabilization, Comparative study, Controllability, Differential equations

KW - Mathematical models

KW - Matrix algebra

KW - Problem solving

KW - System stability

KW - Vectors

KW - Discrete stabilization

KW - Discretization interval

KW - Discrete time control systems

KW - Complete controllability

M3 - Article

VL - 34

SP - 13

EP - 18

JO - Journal of Computer and Systems Sciences International

JF - Journal of Computer and Systems Sciences International

SN - 1064-2307

IS - 4

ER -

ID: 5511311