ON STABILITY OF THE SECOND ORDER DELAY DIFFERENTIAL EQUATION: MATRIX INEQUALITY METHOD

L. Berezansky; A. Domoshnitsky

doi:10.26351/FDE/26/1-2/1

ON STABILITY OF THE SECOND ORDER DELAY DIFFERENTIAL EQUATION: MATRIX INEQUALITY METHOD

L. Berezansky
, A. Domoshnitsky

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

תקציר

Bohl-Perron theorem, a-priory solution estimates, M-matrix and matrix inequality methods are applied to obtain new exponential stability conditions for the following delay differential equation of the second order (Formular Presented) and some generalizations of the equation including equations with several delays, integrodifferential equations and equations with distributed delays.

שפה מקורית	אנגלית
עמודים (מ-עד)	3-34
מספר עמודים	32
כתב עת	Functional Differential Equations
כרך	26
מספר גיליון	1-2
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.26351/FDE/26/1-2/1
סטטוס פרסום	פורסם - 2019

גישה למסמך

10.26351/FDE/26/1-2/1

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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title = "ON STABILITY OF THE SECOND ORDER DELAY DIFFERENTIAL EQUATION: MATRIX INEQUALITY METHOD",

abstract = "Bohl-Perron theorem, a-priory solution estimates, M-matrix and matrix inequality methods are applied to obtain new exponential stability conditions for the following delay differential equation of the second order (Formular Presented) and some generalizations of the equation including equations with several delays, integrodifferential equations and equations with distributed delays.",

keywords = "Bohl-Perron theorem, Exponential stability, M-matrix, equations with distributed delays, integrodifferential equations, matrix inequality method, second order delay differential equations",

author = "L. Berezansky and A. Domoshnitsky",

year = "2019",

doi = "10.26351/FDE/26/1-2/1",

language = "אנגלית",

volume = "26",

pages = "3--34",

journal = "Functional Differential Equations",

issn = "0793-1786",

publisher = "Ariel University Press",

number = "1-2",

}

TY - JOUR

T1 - ON STABILITY OF THE SECOND ORDER DELAY DIFFERENTIAL EQUATION

T2 - MATRIX INEQUALITY METHOD

AU - Berezansky, L.

AU - Domoshnitsky, A.

PY - 2019

Y1 - 2019

N2 - Bohl-Perron theorem, a-priory solution estimates, M-matrix and matrix inequality methods are applied to obtain new exponential stability conditions for the following delay differential equation of the second order (Formular Presented) and some generalizations of the equation including equations with several delays, integrodifferential equations and equations with distributed delays.

AB - Bohl-Perron theorem, a-priory solution estimates, M-matrix and matrix inequality methods are applied to obtain new exponential stability conditions for the following delay differential equation of the second order (Formular Presented) and some generalizations of the equation including equations with several delays, integrodifferential equations and equations with distributed delays.

KW - Bohl-Perron theorem

KW - Exponential stability

KW - M-matrix

KW - equations with distributed delays

KW - integrodifferential equations

KW - matrix inequality method

KW - second order delay differential equations

UR - https://www.scopus.com/pages/publications/85159214572

U2 - 10.26351/FDE/26/1-2/1

DO - 10.26351/FDE/26/1-2/1

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AN - SCOPUS:85159214572

SN - 0793-1786

VL - 26

SP - 3

EP - 34

JO - Functional Differential Equations

JF - Functional Differential Equations

IS - 1-2

ER -

ON STABILITY OF THE SECOND ORDER DELAY DIFFERENTIAL EQUATION: MATRIX INEQUALITY METHOD

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