Asymptotic integration of linear differential-algebraic equations

被引：0

作者：

Vu Hoang Linh ^{[1
]}

Nguyen Ngoc Tuan ^{[2
]}

机构：

[1] Vietnam Natl Univ, Fac Math Mech & Informat, Hanoi, Vietnam

[2] Hung Yen Univ Technol & Educ, Dept Math, Hung Yen, Vietnam

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2014年 / 12期

关键词：

linear differential-algebraic equation; asymptotic integration; regular pencil; index; Weierstrass-Kronecker canonical form; SPECTRAL INTERVALS; STABILITY; SYSTEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations with asymptotically constant coefficients. Some results of asymptotic integration which are well known for ordinary differential equations (ODEs) are extended to differential-algebraic equations (DAEs).

引用

页码：1 / 17

页数：17

共 50 条

[1] ASYMPTOTIC INTEGRATION OF SINGULARLY PERTURBED LINEAR SYSTEMS OF DIFFERENTIAL-ALGEBRAIC EQUATIONS
Samusenko, P.
MISKOLC MATHEMATICAL NOTES, 2017, 17 (02) : 1033 - 1047
[2] Asymptotic stability of linear delay differential-algebraic equations and numerical methods
Zhu, WJ
Petzold, LR
APPLIED NUMERICAL MATHEMATICS, 1997, 24 (2-3) : 247 - 264
[3] ON LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS AND LINEARIZATIONS
MARZ, R
APPLIED NUMERICAL MATHEMATICS, 1995, 18 (1-3) : 267 - 292
[4] The regularization of linear differential-algebraic equations
Kalachev, LV
OMalley, RE
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (01) : 258 - 273
[5] On criteria for asymptotic stability of differential-algebraic equations
Stykel, T
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2002, 82 (03): : 147 - 158
[6] ASYMPTOTIC STABILITY OF LINEAR NEUTRAL DELAY DIFFERENTIAL-ALGEBRAIC EQUATIONS AND LINEAR MULTISTEP METHODS
Tian, Hongjiong
Yu, Quanhong
Kuang, Jiaoxun
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 49 (02) : 608 - 618
[7] SPECTRAL ANALYSIS FOR LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS
Vu Hoang Linh
Mehrmann, Volker
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 : 991 - 1000
[8] Asymptotic stability of general linear methods for systems of linear neutral delay differential-algebraic equations
Yu, Quanhong
Tian, Hongjiong
Kuang, Jiaoxun
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (04) : 816 - 835
[9] Asymptotic behavior of solutions of quasilinear differential-algebraic equations
Linh, Vu Hoang
Nga, Ngo Thi Thanh
Tuan, Nguyen Ngoc
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2022, (43) : 1 - 16
[10] On Detectability of Switched Linear Differential-Algebraic Equations
Tanwani, Aneel
Trenn, Stephan
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 2957 - 2962

← 1 2 3 4 5 →