• 제목/요약/키워드: differential operator factorization

검색결과 1건 처리시간 0.02초

선형 시변 시스템에 대한 잘 정의된 (well-defined) 직렬 및 병렬 D-스펙트럼 (Well-Defined series and parallel D-spectra for preparation for linear time-varying systems)

  • ;이호철;최재원
    • 제어로봇시스템학회논문지
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    • 제5권5호
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    • pp.521-528
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    • 1999
  • The nth-order, scalar, linear time-varying (LTV) systems can be dealt with operators on a differential ring. Using this differential algebraic structure and a classical result on differential operator factorizaitons developed by Floquet, a novel eigenstructure(eigenvalues, eigenvectors) concepts for linear time0varying systems are proposed. In this paper, Necessary and sufficient conditions for the existence of well-defined(free of finite-time singularities) SD- and PD- spectra for SPDOs with complex- and real-valued coefficients are also presented. Three numerical examples are presented to illustrate the proposed concepts.

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