On factorization of the characteristic quasipolynomial of a system of linear differential equations with delay

被引:2
|
作者
Mulyukov M.V. [1 ]
机构
[1] State National Research Polytechnical University of Perm, Komsomol'skii pr. 29, Perm
关键词
Asymptotic stability; Factorization of quasipolynomial; System with delay;
D O I
10.3103/S1066369X13090053
中图分类号
学科分类号
摘要
We establish a factorization criterion for the characteristic quasipolynomial of a system of two linear autonomous differential equations with delay. On the base of this criterion we obtain several criteria of the asymptotic stability. © 2013 Allerton Press, Inc.
引用
收藏
页码:31 / 36
页数:5
相关论文
共 50 条
  • [21] OSCILLATIONS IN LINEAR DELAY-DIFFERENTIAL EQUATIONS
    BARR, TH
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 195 (01) : 261 - 277
  • [22] Hyperbolicity of linear partial differential equations with delay
    András Bátkai
    Integral Equations and Operator Theory, 2002, 44 : 383 - 396
  • [23] Hyperbolicity of linear partial differential equations with delay
    Bátkai, A
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2002, 44 (04) : 383 - 396
  • [24] Notes on oscillation of linear delay differential equations
    Dorociakova, Bozena
    Chupac, Radoslav
    Olach, Rudolf
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [25] Stability of linear periodic differential delay equations
    Huang, YS
    PROCEEDINGS OF DYNAMIC SYSTEMS AND APPLICATIONS, VOL 4, 2004, : 277 - 282
  • [26] Notes on oscillation of linear delay differential equations
    Božena Dorociaková
    Radoslav Chupáč
    Rudolf Olach
    Advances in Difference Equations, 2018
  • [27] An oscillation criterion of linear delay differential equations
    Chatzarakis, George E.
    Dorociakova, Bozena
    Olach, Rudolf
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [28] ON THE THEORY OF LINEAR DIFFERENTIAL-DELAY EQUATIONS
    BEKLARYAN, LA
    RUSSIAN MATHEMATICAL SURVEYS, 1994, 49 (06) : 197 - 198
  • [29] Stability of linear differential equations with distributed delay
    Tchangani, AP
    Dambrine, M
    Richard, JP
    PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 3779 - 3784
  • [30] Minimization of a convex functional in a linear system of delay differential equations with fixed ends
    G. V. Shevchenko
    Computational Mathematics and Mathematical Physics, 2013, 53 : 691 - 701