Criteria for the asymptotic stability of solutions of dynamical systems

被引：0
|
作者：
Valeev K.G. [1 ]
Dzhalladova I.A. [1 ]
机构：
[1] Kiev National Economical University, Kiev
来源：
Ukrainian Mathematical Journal | 2000年 / 52卷 / 12期
关键词：
Differential Equation; Dynamical System; Difference Equation; Asymptotic Stability; Stochastic System;
D O I：
10.1023/A:1010464128307
中图分类号：
学科分类号：
摘要：
We present a new proof for criteria for the asymptotic stability of systems of difference and differential equations based on the properties of monotone operators in a semiordered space. We also establish necessary and sufficient conditions for the asymptotic stability of stochastic systems of differential and difference equations in the mean square. © 2000 Plenum Publishing Corporation.
引用
收藏
页码：1942 / 1948
页数：6
相关论文
共 50 条
  • [21] On the global uniform asymptotic stability of time-varying dynamical systems
    HajSalem, Zaineb
    Hammami, Mohamed Ali
    Mabrouk, Mohamed
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2014, 59 (01): : 57 - 67
  • [22] On the stability of families of dynamical systems
    Bobylev, NA
    Il'in, AV
    Korovin, SK
    Fomichev, VV
    DIFFERENTIAL EQUATIONS, 2002, 38 (04) : 464 - 470
  • [23] On the Stability of Families of Dynamical Systems
    N. A. Bobylev
    A. V. Il'in
    S. K. Korovin
    V. V. Fomichev
    Differential Equations, 2002, 38 : 464 - 470
  • [24] Lyapunov Stability and Orbital Stability of Dynamical Systems
    B. S. Kalitin
    Differential Equations, 2004, 40 : 1096 - 1105
  • [25] Application of dynamical systems to the study of asymptotic properties of solutions to nonlinear higher-order differential equations
    Astashova I.V.
    Journal of Mathematical Sciences, 2005, 126 (5) : 1361 - 1391
  • [26] A simple method for studying asymptotic stability of discrete dynamical systems and its applications
    Hoang, Manh Tuan
    Ngo, Thi Kim Quy
    Truong, Ha Hai
    INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA, 2023, 13 (01): : 10 - 25
  • [27] Asymptotic stability for time-variant systems and observability: Uniform and nonuniform criteria
    Aeyels, D
    Sepulchre, R
    Peuteman, J
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1998, 11 (01) : 1 - 27
  • [28] Asymptotic stability criteria for a class of linear neutral delay-differential systems
    Wang Jiang
    Huang Min
    Proceedings of the 2007 Chinese Control and Decision Conference, 2007, : 529 - 532
  • [29] New Criteria on Asymptotic Stability of Stochastic Differential Systems via Impulsive Control
    Liu, Linna
    Xia, Mingli
    Fang, Jianyin
    Zhu, Quanxin
    Qu, Boyang
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2024, 71 (06) : 3036 - 3040
  • [30] Asymptotic stability for time-variant systems and observability: Uniform and nonuniform criteria
    D. Aeyels
    R. Sepulchre
    J. Peuteman
    Mathematics of Control, Signals and Systems, 1998, 11 : 1 - 27
12345