Estimations of solutions convergence of hybrid systems consisting of linear equations with delay

A.A. Martynyuk; D. Khusainov; Romanus Langerak; O. Kuzmych

Estimations of solutions convergence of hybrid systems consisting of linear equations with delay

A.A. Martynyuk (Editor), D. Khusainov, Romanus Langerak, O. Kuzmych

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

The logic-dynamical hybrid system given by a set of subsystems which are linear differential-difference equations with constant coefficients and constant delay is investigated in the paper. The estimations of disturbances of such system are obtained. We consider the cases of stable and unstable subsystems. Besides the estimations of solutions of hybrid system given by a set of scalar subsystems are obtained.

Original language	Undefined
Pages (from-to)	169-186
Number of pages	18
Journal	Nonlinear dynamics and systems theory
Volume	7
Issue number	LNCS4549/2
Publication status	Published - 2007

Keywords

MSC-34K06
MSC-34K20
differential-difference equation
METIS-241872
MSC-34O20
Hybrid System
stable system
IR-61899
Lyapunov-Krasovsky functional
EWI-10983

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Cite this

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title = "Estimations of solutions convergence of hybrid systems consisting of linear equations with delay",

abstract = "The logic-dynamical hybrid system given by a set of subsystems which are linear differential-difference equations with constant coefficients and constant delay is investigated in the paper. The estimations of disturbances of such system are obtained. We consider the cases of stable and unstable subsystems. Besides the estimations of solutions of hybrid system given by a set of scalar subsystems are obtained.",

keywords = "MSC-34K06, MSC-34K20, differential-difference equation, METIS-241872, MSC-34O20, Hybrid System, stable system, IR-61899, Lyapunov-Krasovsky functional, EWI-10983",

author = "A.A. Martynyuk and D. Khusainov and Romanus Langerak and O. Kuzmych",

year = "2007",

language = "Undefined",

volume = "7",

pages = "169--186",

journal = "Nonlinear dynamics and systems theory",

issn = "1562-8353",

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number = "LNCS4549/2",

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TY - JOUR

T1 - Estimations of solutions convergence of hybrid systems consisting of linear equations with delay

AU - Khusainov, D.

AU - Langerak, Romanus

AU - Kuzmych, O.

A2 - Martynyuk, A.A.

PY - 2007

Y1 - 2007

N2 - The logic-dynamical hybrid system given by a set of subsystems which are linear differential-difference equations with constant coefficients and constant delay is investigated in the paper. The estimations of disturbances of such system are obtained. We consider the cases of stable and unstable subsystems. Besides the estimations of solutions of hybrid system given by a set of scalar subsystems are obtained.

AB - The logic-dynamical hybrid system given by a set of subsystems which are linear differential-difference equations with constant coefficients and constant delay is investigated in the paper. The estimations of disturbances of such system are obtained. We consider the cases of stable and unstable subsystems. Besides the estimations of solutions of hybrid system given by a set of scalar subsystems are obtained.

KW - MSC-34K06

KW - MSC-34K20

KW - differential-difference equation

KW - METIS-241872

KW - MSC-34O20

KW - Hybrid System

KW - stable system

KW - IR-61899

KW - Lyapunov-Krasovsky functional

KW - EWI-10983

M3 - Article

SN - 1562-8353

VL - 7

SP - 169

EP - 186

JO - Nonlinear dynamics and systems theory

JF - Nonlinear dynamics and systems theory

IS - LNCS4549/2

ER -