SPECTRAL MAPPING THEOREMS AND STABILITY THEORY IN LINEAR DYNAMICAL SYSTEMS

被引：0
|
作者：
Singh, R. K. [1 ]
机构：
[1] Univ Lucknow, Dept Math & Astron, Lucknow 226007, Uttar Pradesh, India
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2010年 / 1卷 / 01期
关键词：
Functional homomorphisms; dynamical systems; spectral mapping properties; operators; stability of dynamical systems; abstract Cauchy problems; MULTIPLICATION OPERATORS; WEIGHTED SPACES;
D O I：
10.15352/afa/1399900994
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The spectral properties of the operators inducing linear dynamical systems on Banach spaces determine the asymptotic properties of the systems. In this note an interaction between the spectral mapping properties of operators and stability properties of the corresponding dynamical systems is presented.
引用
收藏
页码：59 / 71
页数：13
相关论文
共 50 条
  • [1] Linear approximations to nonlinear dynamical systems with applications to stability and spectral theory
    Tomas-Rodriguez, M.
    Banks, S.P.
    IMA Journal of Mathematical Control and Information, 2003, 20 (01) : 89 - 103
  • [2] Spectral Theory of Dynamical Systems
    Queffelec, Martine
    SUBSTITUTION DYNAMICAL SYSTEMS: SPECTRAL ANALYSIS, SECOND EDITION, 2010, 1294 : 49 - 86
  • [3] Some spectral mapping theorems through local spectral theory
    Aiena P.
    Biondi M.T.
    Rendiconti del Circolo Matematico di Palermo, 2004, 53 (2) : 165 - 184
  • [4] Critical Spectrum and Spectral Mapping Theorems in Transport Theory
    Mustapha Mokhtar-Kharroubi
    Mohammed Sbihi
    Semigroup Forum, 2005, 70 : 406 - 435
  • [5] FUNCTION THEORY AND SPECTRAL MAPPING THEOREMS FOR ANTILINEAR OPERATORS
    Huhtanen, Marko
    Peramaki, Allan
    JOURNAL OF OPERATOR THEORY, 2014, 72 (02) : 451 - 473
  • [6] Critical spectrum and spectral mapping theorems in transport theory
    Mokhtar-Kharroubi, M
    Sbihi, M
    SEMIGROUP FORUM, 2005, 70 (03) : 406 - 435
  • [7] On the stability of fuzzy linear dynamical systems
    Najariyan, Marzieh
    Zhao, Yi
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (09): : 5502 - 5522
  • [8] SPECTRAL MAPPING THEOREMS
    HARTE, R
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (03): : 558 - &
  • [9] Spectral Filtering for General Linear Dynamical Systems
    Hazan, Elad
    Lee, Holden
    Singh, Karan
    Zhang, Cyril
    Zhang, Yi
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 31 (NIPS 2018), 2018, 31
  • [10] SPECTRAL MAPPING THEOREMS
    HARTE, RE
    PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 72 (07) : 89 - 107
12345