Differential-algebraic equations with a small nonlinear term

被引:0
|
作者
E. V. Chistyakova
机构
[1] Russian Academy of Sciences,Institute of System Dynamics and Control Theory, Siberian Branch
来源
Differential Equations | 2009年 / 45卷
关键词
Vector Function; Asymptotic Estimate; Lipschitz Condition; Electrical System; Complicated Case;
D O I
暂无
中图分类号
学科分类号
摘要
In the present paper, we generalize some known results of the theory of differentialalgebraic equations to a more complicated case under the assumption that the nonlinear term is small. We give an asymptotic estimate of the behavior of the solution with respect to the parameter μ.
引用
收藏
页码:1396 / 1399
页数:3
相关论文
共 50 条
  • [1] Differential-algebraic equations with a small nonlinear term
    Chistyakova, E. V.
    [J]. DIFFERENTIAL EQUATIONS, 2009, 45 (09) : 1396 - 1399
  • [2] REGULARIZATION OF NONLINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS
    OMALLEY, RE
    KALACHEV, LV
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1994, 25 (02) : 615 - 629
  • [3] H∞ control for nonlinear differential-algebraic equations
    Wang, He-Sheng
    Yung, Chee-Fai
    Chang, Fan-Ren
    [J]. Proceedings of the IEEE Conference on Decision and Control, 1998, 4 : 4092 - 4097
  • [4] Moment matching for nonlinear differential-algebraic equations
    Scarciotti, Giordano
    [J]. 2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 7447 - 7452
  • [5] H∞ control for nonlinear differential-algebraic equations
    Wang, HS
    Yung, CF
    Chang, FR
    [J]. PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 4092 - 4097
  • [6] Stabilization of solutions for nonlinear differential-algebraic equations
    P. S. Petrenko
    A. A. Shcheglova
    [J]. Automation and Remote Control, 2015, 76 : 573 - 588
  • [7] Stabilization of solutions for nonlinear differential-algebraic equations
    Petrenko, P. S.
    Shcheglova, A. A.
    [J]. AUTOMATION AND REMOTE CONTROL, 2015, 76 (04) : 573 - 588
  • [8] On geometric and differentiation index of nonlinear differential-algebraic equations
    Chen, Yahao
    Trenn, Stephan
    [J]. IFAC PAPERSONLINE, 2021, 54 (09): : 186 - 191
  • [9] NONNEGATIVITY OF SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL-ALGEBRAIC EQUATIONS
    丁小丽
    蒋耀林
    [J]. Acta Mathematica Scientia, 2018, (03) : 756 - 768
  • [10] NONNEGATIVITY OF SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL-ALGEBRAIC EQUATIONS
    Ding, Xiaoli
    Jiang, Yaolin
    [J]. ACTA MATHEMATICA SCIENTIA, 2018, 38 (03) : 756 - 768