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文章基本信息

  • 标题:Szegő's first limit theorem in terms of a realization of a continuous-time time-varying system
  • 本地全文:下载
  • 作者:Pablo A. Iglesias ; Guoqiang Zang
  • 期刊名称:International Journal of Applied Mathematics and Computer Science
  • 电子版ISSN:2083-8492
  • 出版年度:2001
  • 卷号:11
  • 期号:6
  • 出版社:De Gruyter Open
  • 摘要:It is shown that the limit in an abstract version of Szegő's limit theorem can be expressed in terms of the antistable dynamics of the system. When the system dynamics are regular, it is shown that the limit equals the difference between the antistable Lyapunov exponents of the system and those of its inverse. In the general case, the elements of the dichotomy spectrum give lower and upper bounds.
  • 关键词:time-varying systems; exponential dichotomies; coprime; inner/outer factorizations
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