Asymptotic behavior of extremal solutions and structure of extremal norms of linear differential inclusions of order three

被引：8
|
作者：
Barabanov, N. E. [1 ]
机构：
[1] N Dakota State Univ, Dept Math, Fargo, ND 58105 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 428卷 / 10期
关键词：
stability; Lyapunov exponent; joint spectral radius; extremal norm;
D O I：
10.1016/j.laa.2007.10.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Asymptotic properties of extremal solutions of linear inclusions of order three with zero Lyapunov exponent are investigated. Under certain conditions it is shown that all extremal solutions of such inclusions tend to the same (up to a multiplicative factor) solution, which is central symmetric. The structure of the convex set of extremal norm is studied. A number of extremal points of this set are described. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：2357 / 2367
页数：11
相关论文
共 50 条
  • [1] Extremal solutions and extremal norms of linear differential inclusions of order three
    Barabanov, Nikita
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 2901 - 2906
  • [2] Extremal norms for positive linear inclusions
    Mason, Oliver
    Wirth, Fabian
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 444 : 100 - 113
  • [3] Extremal solutions for nonlinear second order differential inclusions
    Douka, P
    Papageorgiou, NS
    MATHEMATISCHE NACHRICHTEN, 2005, 278 (1-2) : 43 - 52
  • [4] Random extremal solutions of differential inclusions
    Alberto Bressan
    Vasile Staicu
    Nonlinear Differential Equations and Applications NoDEA, 2016, 23
  • [5] Random extremal solutions of differential inclusions
    Bressan, Alberto
    Staicu, Vasile
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2016, 23 (03):
  • [6] EXTREMAL SOLUTIONS OF THE OPERATOR-DIFFERENTIAL INCLUSIONS
    IVANENKO, VI
    MELNIK, VS
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1987, (05): : 72 - 75
  • [7] EXTREMAL SOLUTIONS OF FUNCTIONAL-DIFFERENTIAL INCLUSIONS
    HU, SC
    LAKSHMIKANTHAM, V
    PAPAGEORGIOU, N
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 173 (02) : 430 - 435
  • [8] EXTREMAL SOLUTIONS OF NTH-ORDER LINEAR DIFFERENTIAL EQUATIONS
    KIM, WJ
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 33 (01) : 62 - &
  • [9] EXISTENCE OF SOLUTIONS OF EXTREMAL PROBLEMS FOR DIFFERENTIAL INCLUSIONS
    Akhundov, H. S.
    Sadygov, A. M.
    PROCEEDINGS OF THE7TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL. 1, 2020, : 65 - 67
  • [10] On the structure of the set of extremal norms of a linear inclusion
    Wirth, Fabian
    2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, 2005, : 3019 - 3024
12345